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Finding the Fourth Proportional to 656,598, 906,105.24 and 354,792

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Solution

The fourth proportional to 656,598, 906,105.24 and 354,792 is: 489,612.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,598 : 906,105.24 = 354,792 : x
  2. Step 2: Convert to fraction form
    656,598/906,105.24 = 354,792/x
  3. Step 3: Cross multiply
    656,598x = 906,105.24 × 354,792
  4. Step 4: Simplify right side
    656,598x = 321,478,890,310.08
  5. Step 5: Solve for x
    x = 321,478,890,310.08/656,598
  6. Step 6: Final answer
    x = 489,612.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.