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Finding the Fourth Proportional to 475,913.38, 713,793.46 and 138,874.90

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Solution

The fourth proportional to 475,913.38, 713,793.46 and 138,874.90 is: 208,289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,913.38 : 713,793.46 = 138,874.90 : x
  2. Step 2: Convert to fraction form
    475,913.38/713,793.46 = 138,874.90/x
  3. Step 3: Cross multiply
    475,913.38x = 713,793.46 × 138,874.90
  4. Step 4: Simplify right side
    475,913.38x = 99,127,995,378.15
  5. Step 5: Solve for x
    x = 99,127,995,378.15/475,913.38
  6. Step 6: Final answer
    x = 208,289.99

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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.