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Finding the Fourth Proportional to 399,048.60, 598,645.80 and 162,415.20

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Solution

The fourth proportional to 399,048.60, 598,645.80 and 162,415.20 is: 243,652.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,048.60 : 598,645.80 = 162,415.20 : x
  2. Step 2: Convert to fraction form
    399,048.60/598,645.80 = 162,415.20/x
  3. Step 3: Cross multiply
    399,048.60x = 598,645.80 × 162,415.20
  4. Step 4: Simplify right side
    399,048.60x = 97,229,177,336.16
  5. Step 5: Solve for x
    x = 97,229,177,336.16/399,048.60
  6. Step 6: Final answer
    x = 243,652.47

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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.