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Finding the Fourth Proportional to 493,295.38, 739,990.10 and 138,308.38

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Solution

The fourth proportional to 493,295.38, 739,990.10 and 138,308.38 is: 207,475.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,295.38 : 739,990.10 = 138,308.38 : x
  2. Step 2: Convert to fraction form
    493,295.38/739,990.10 = 138,308.38/x
  3. Step 3: Cross multiply
    493,295.38x = 739,990.10 × 138,308.38
  4. Step 4: Simplify right side
    493,295.38x = 102,346,830,442.83
  5. Step 5: Solve for x
    x = 102,346,830,442.83/493,295.38
  6. Step 6: Final answer
    x = 207,475.75

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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.