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Finding the Fourth Proportional to 664,325.20, 994,414.20 and 523,320.40

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Solution

The fourth proportional to 664,325.20, 994,414.20 and 523,320.40 is: 783,347.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,325.20 : 994,414.20 = 523,320.40 : x
  2. Step 2: Convert to fraction form
    664,325.20/994,414.20 = 523,320.40/x
  3. Step 3: Cross multiply
    664,325.20x = 994,414.20 × 523,320.40
  4. Step 4: Simplify right side
    664,325.20x = 520,397,236,909.68
  5. Step 5: Solve for x
    x = 520,397,236,909.68/664,325.20
  6. Step 6: Final answer
    x = 783,347.13

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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.