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Finding the Fourth Proportional to 474,781.50, 712,172.25 and 142,357.50

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Solution

The fourth proportional to 474,781.50, 712,172.25 and 142,357.50 is: 213,536.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,781.50 : 712,172.25 = 142,357.50 : x
  2. Step 2: Convert to fraction form
    474,781.50/712,172.25 = 142,357.50/x
  3. Step 3: Cross multiply
    474,781.50x = 712,172.25 × 142,357.50
  4. Step 4: Simplify right side
    474,781.50x = 101,383,061,079.38
  5. Step 5: Solve for x
    x = 101,383,061,079.38/474,781.50
  6. Step 6: Final answer
    x = 213,536.25

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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.