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Finding the Fourth Proportional to 474,838.20, 712,145.52 and 137,789.91

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Solution

The fourth proportional to 474,838.20, 712,145.52 and 137,789.91 is: 206,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,838.20 : 712,145.52 = 137,789.91 : x
  2. Step 2: Convert to fraction form
    474,838.20/712,145.52 = 137,789.91/x
  3. Step 3: Cross multiply
    474,838.20x = 712,145.52 × 137,789.91
  4. Step 4: Simplify right side
    474,838.20x = 98,126,467,107.70
  5. Step 5: Solve for x
    x = 98,126,467,107.70/474,838.20
  6. Step 6: Final answer
    x = 206,652.43

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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.