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Finding the Fourth Proportional to 653,490.56, 901,711.20 and 408,446.42

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Solution

The fourth proportional to 653,490.56, 901,711.20 and 408,446.42 is: 563,589.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,490.56 : 901,711.20 = 408,446.42 : x
  2. Step 2: Convert to fraction form
    653,490.56/901,711.20 = 408,446.42/x
  3. Step 3: Cross multiply
    653,490.56x = 901,711.20 × 408,446.42
  4. Step 4: Simplify right side
    653,490.56x = 368,300,711,513.90
  5. Step 5: Solve for x
    x = 368,300,711,513.90/653,490.56
  6. Step 6: Final answer
    x = 563,589.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.