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Finding the Fourth Proportional to 654,306.60, 902,990.68 and 399,705.78

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Solution

The fourth proportional to 654,306.60, 902,990.68 and 399,705.78 is: 551,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,306.60 : 902,990.68 = 399,705.78 : x
  2. Step 2: Convert to fraction form
    654,306.60/902,990.68 = 399,705.78/x
  3. Step 3: Cross multiply
    654,306.60x = 902,990.68 × 399,705.78
  4. Step 4: Simplify right side
    654,306.60x = 360,930,594,082.13
  5. Step 5: Solve for x
    x = 360,930,594,082.13/654,306.60
  6. Step 6: Final answer
    x = 551,623.04

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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.