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Finding the Fourth Proportional to 659,043.20, 986,491.20 and 472,419.20

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Solution

The fourth proportional to 659,043.20, 986,491.20 and 472,419.20 is: 707,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,043.20 : 986,491.20 = 472,419.20 : x
  2. Step 2: Convert to fraction form
    659,043.20/986,491.20 = 472,419.20/x
  3. Step 3: Cross multiply
    659,043.20x = 986,491.20 × 472,419.20
  4. Step 4: Simplify right side
    659,043.20x = 466,037,383,511.04
  5. Step 5: Solve for x
    x = 466,037,383,511.04/659,043.20
  6. Step 6: Final answer
    x = 707,142.39

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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.