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Finding the Fourth Proportional to 477,340.52, 715,909.89 and 140,289.71

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Solution

The fourth proportional to 477,340.52, 715,909.89 and 140,289.71 is: 210,404.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,340.52 : 715,909.89 = 140,289.71 : x
  2. Step 2: Convert to fraction form
    477,340.52/715,909.89 = 140,289.71/x
  3. Step 3: Cross multiply
    477,340.52x = 715,909.89 × 140,289.71
  4. Step 4: Simplify right side
    477,340.52x = 100,434,790,854.23
  5. Step 5: Solve for x
    x = 100,434,790,854.23/477,340.52
  6. Step 6: Final answer
    x = 210,404.91

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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.