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Finding the Fourth Proportional to 493,539.90, 740,309.85 and 138,614.10

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Solution

The fourth proportional to 493,539.90, 740,309.85 and 138,614.10 is: 207,921.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,539.90 : 740,309.85 = 138,614.10 : x
  2. Step 2: Convert to fraction form
    493,539.90/740,309.85 = 138,614.10/x
  3. Step 3: Cross multiply
    493,539.90x = 740,309.85 × 138,614.10
  4. Step 4: Simplify right side
    493,539.90x = 102,617,383,578.89
  5. Step 5: Solve for x
    x = 102,617,383,578.89/493,539.90
  6. Step 6: Final answer
    x = 207,921.15

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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.