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Finding the Fourth Proportional to 493,539.32, 740,193.96 and 138,587.60

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Solution

The fourth proportional to 493,539.32, 740,193.96 and 138,587.60 is: 207,849.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,539.32 : 740,193.96 = 138,587.60 : x
  2. Step 2: Convert to fraction form
    493,539.32/740,193.96 = 138,587.60/x
  3. Step 3: Cross multiply
    493,539.32x = 740,193.96 × 138,587.60
  4. Step 4: Simplify right side
    493,539.32x = 102,581,704,450.90
  5. Step 5: Solve for x
    x = 102,581,704,450.90/493,539.32
  6. Step 6: Final answer
    x = 207,849.10

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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.