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Finding the Fourth Proportional to 415,957.20, 624,194.10 and 266,304.90

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Solution

The fourth proportional to 415,957.20, 624,194.10 and 266,304.90 is: 399,622.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,957.20 : 624,194.10 = 266,304.90 : x
  2. Step 2: Convert to fraction form
    415,957.20/624,194.10 = 266,304.90/x
  3. Step 3: Cross multiply
    415,957.20x = 624,194.10 × 266,304.90
  4. Step 4: Simplify right side
    415,957.20x = 166,225,947,381.09
  5. Step 5: Solve for x
    x = 166,225,947,381.09/415,957.20
  6. Step 6: Final answer
    x = 399,622.72

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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.