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Finding the Fourth Proportional to 659,602.40, 986,293.20 and 491,640.80

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Solution

The fourth proportional to 659,602.40, 986,293.20 and 491,640.80 is: 735,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,602.40 : 986,293.20 = 491,640.80 : x
  2. Step 2: Convert to fraction form
    659,602.40/986,293.20 = 491,640.80/x
  3. Step 3: Cross multiply
    659,602.40x = 986,293.20 × 491,640.80
  4. Step 4: Simplify right side
    659,602.40x = 484,901,977,882.56
  5. Step 5: Solve for x
    x = 484,901,977,882.56/659,602.40
  6. Step 6: Final answer
    x = 735,142.83

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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.