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Finding the Fourth Proportional to 392,930.66, 589,400.10 and 314,543.18

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Solution

The fourth proportional to 392,930.66, 589,400.10 and 314,543.18 is: 471,818.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,930.66 : 589,400.10 = 314,543.18 : x
  2. Step 2: Convert to fraction form
    392,930.66/589,400.10 = 314,543.18/x
  3. Step 3: Cross multiply
    392,930.66x = 589,400.10 × 314,543.18
  4. Step 4: Simplify right side
    392,930.66x = 185,391,781,746.32
  5. Step 5: Solve for x
    x = 185,391,781,746.32/392,930.66
  6. Step 6: Final answer
    x = 471,818.06

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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.