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Finding the Fourth Proportional to 664,342.20, 994,439.70 and 523,337.40

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Solution

The fourth proportional to 664,342.20, 994,439.70 and 523,337.40 is: 783,372.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,342.20 : 994,439.70 = 523,337.40 : x
  2. Step 2: Convert to fraction form
    664,342.20/994,439.70 = 523,337.40/x
  3. Step 3: Cross multiply
    664,342.20x = 994,439.70 × 523,337.40
  4. Step 4: Simplify right side
    664,342.20x = 520,427,487,054.78
  5. Step 5: Solve for x
    x = 520,427,487,054.78/664,342.20
  6. Step 6: Final answer
    x = 783,372.62

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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.