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Finding the Fourth Proportional to 659,047.20, 986,497.20 and 472,423.20

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Solution

The fourth proportional to 659,047.20, 986,497.20 and 472,423.20 is: 707,148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,047.20 : 986,497.20 = 472,423.20 : x
  2. Step 2: Convert to fraction form
    659,047.20/986,497.20 = 472,423.20/x
  3. Step 3: Cross multiply
    659,047.20x = 986,497.20 × 472,423.20
  4. Step 4: Simplify right side
    659,047.20x = 466,044,164,015.04
  5. Step 5: Solve for x
    x = 466,044,164,015.04/659,047.20
  6. Step 6: Final answer
    x = 707,148.39

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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.