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Finding the Fourth Proportional to 658,142.98, 987,214.47 and 159,506.98

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Solution

The fourth proportional to 658,142.98, 987,214.47 and 159,506.98 is: 239,260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,142.98 : 987,214.47 = 159,506.98 : x
  2. Step 2: Convert to fraction form
    658,142.98/987,214.47 = 159,506.98/x
  3. Step 3: Cross multiply
    658,142.98x = 987,214.47 × 159,506.98
  4. Step 4: Simplify right side
    658,142.98x = 157,467,598,722.00
  5. Step 5: Solve for x
    x = 157,467,598,722.00/658,142.98
  6. Step 6: Final answer
    x = 239,260.47

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.