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Finding the Fourth Proportional to 493,654.68, 740,366.46 and 138,702.60

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Solution

The fourth proportional to 493,654.68, 740,366.46 and 138,702.60 is: 208,021.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,654.68 : 740,366.46 = 138,702.60 : x
  2. Step 2: Convert to fraction form
    493,654.68/740,366.46 = 138,702.60/x
  3. Step 3: Cross multiply
    493,654.68x = 740,366.46 × 138,702.60
  4. Step 4: Simplify right side
    493,654.68x = 102,690,752,954.80
  5. Step 5: Solve for x
    x = 102,690,752,954.80/493,654.68
  6. Step 6: Final answer
    x = 208,021.43

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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.