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Finding the Fourth Proportional to 625,732.56, 864,223.68 and 424,178.64

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Solution

The fourth proportional to 625,732.56, 864,223.68 and 424,178.64 is: 585,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,732.56 : 864,223.68 = 424,178.64 : x
  2. Step 2: Convert to fraction form
    625,732.56/864,223.68 = 424,178.64/x
  3. Step 3: Cross multiply
    625,732.56x = 864,223.68 × 424,178.64
  4. Step 4: Simplify right side
    625,732.56x = 366,585,225,238.20
  5. Step 5: Solve for x
    x = 366,585,225,238.20/625,732.56
  6. Step 6: Final answer
    x = 585,849.69

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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.