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Finding the Fourth Proportional to 664,323.20, 994,411.20 and 523,318.40

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Solution

The fourth proportional to 664,323.20, 994,411.20 and 523,318.40 is: 783,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,323.20 : 994,411.20 = 523,318.40 : x
  2. Step 2: Convert to fraction form
    664,323.20/994,411.20 = 523,318.40/x
  3. Step 3: Cross multiply
    664,323.20x = 994,411.20 × 523,318.40
  4. Step 4: Simplify right side
    664,323.20x = 520,393,678,126.08
  5. Step 5: Solve for x
    x = 520,393,678,126.08/664,323.20
  6. Step 6: Final answer
    x = 783,344.13

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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.