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Finding the Fourth Proportional to 475,337.64, 712,970.82 and 138,380.88

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Solution

The fourth proportional to 475,337.64, 712,970.82 and 138,380.88 is: 207,560.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,337.64 : 712,970.82 = 138,380.88 : x
  2. Step 2: Convert to fraction form
    475,337.64/712,970.82 = 138,380.88/x
  3. Step 3: Cross multiply
    475,337.64x = 712,970.82 × 138,380.88
  4. Step 4: Simplify right side
    475,337.64x = 98,661,529,485.92
  5. Step 5: Solve for x
    x = 98,661,529,485.92/475,337.64
  6. Step 6: Final answer
    x = 207,560.94

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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.