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Finding the Fourth Proportional to 649,418.20, 974,127.30 and 425,469.40

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Solution

The fourth proportional to 649,418.20, 974,127.30 and 425,469.40 is: 638,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,418.20 : 974,127.30 = 425,469.40 : x
  2. Step 2: Convert to fraction form
    649,418.20/974,127.30 = 425,469.40/x
  3. Step 3: Cross multiply
    649,418.20x = 974,127.30 × 425,469.40
  4. Step 4: Simplify right side
    649,418.20x = 414,461,357,854.62
  5. Step 5: Solve for x
    x = 414,461,357,854.62/649,418.20
  6. Step 6: Final answer
    x = 638,204.10

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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.