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Finding the Fourth Proportional to 492,098.40, 737,686.80 and 385,423.20

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Solution

The fourth proportional to 492,098.40, 737,686.80 and 385,423.20 is: 577,773.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,098.40 : 737,686.80 = 385,423.20 : x
  2. Step 2: Convert to fraction form
    492,098.40/737,686.80 = 385,423.20/x
  3. Step 3: Cross multiply
    492,098.40x = 737,686.80 × 385,423.20
  4. Step 4: Simplify right side
    492,098.40x = 284,321,607,053.76
  5. Step 5: Solve for x
    x = 284,321,607,053.76/492,098.40
  6. Step 6: Final answer
    x = 577,773.89

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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.