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Finding the Fourth Proportional to 475,338.64, 712,972.32 and 138,381.88

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Solution

The fourth proportional to 475,338.64, 712,972.32 and 138,381.88 is: 207,562.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,338.64 : 712,972.32 = 138,381.88 : x
  2. Step 2: Convert to fraction form
    475,338.64/712,972.32 = 138,381.88/x
  3. Step 3: Cross multiply
    475,338.64x = 712,972.32 × 138,381.88
  4. Step 4: Simplify right side
    475,338.64x = 98,662,450,029.56
  5. Step 5: Solve for x
    x = 98,662,450,029.56/475,338.64
  6. Step 6: Final answer
    x = 207,562.44

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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.