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Finding the Fourth Proportional to 664,358.70, 994,464.45 and 523,353.90

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Solution

The fourth proportional to 664,358.70, 994,464.45 and 523,353.90 is: 783,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,358.70 : 994,464.45 = 523,353.90 : x
  2. Step 2: Convert to fraction form
    664,358.70/994,464.45 = 523,353.90/x
  3. Step 3: Cross multiply
    664,358.70x = 994,464.45 × 523,353.90
  4. Step 4: Simplify right side
    664,358.70x = 520,456,848,318.86
  5. Step 5: Solve for x
    x = 520,456,848,318.86/664,358.70
  6. Step 6: Final answer
    x = 783,397.35

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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.