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Finding the Fourth Proportional to 417,024, 625,651.20 and 121,536

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Solution

The fourth proportional to 417,024, 625,651.20 and 121,536 is: 182,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,024 : 625,651.20 = 121,536 : x
  2. Step 2: Convert to fraction form
    417,024/625,651.20 = 121,536/x
  3. Step 3: Cross multiply
    417,024x = 625,651.20 × 121,536
  4. Step 4: Simplify right side
    417,024x = 76,039,144,243.20
  5. Step 5: Solve for x
    x = 76,039,144,243.20/417,024
  6. Step 6: Final answer
    x = 182,337.57

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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.