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Finding the Fourth Proportional to 625,690, 864,165 and 424,136.08

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Solution

The fourth proportional to 625,690, 864,165 and 424,136.08 is: 585,790.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,690 : 864,165 = 424,136.08 : x
  2. Step 2: Convert to fraction form
    625,690/864,165 = 424,136.08/x
  3. Step 3: Cross multiply
    625,690x = 864,165 × 424,136.08
  4. Step 4: Simplify right side
    625,690x = 366,523,555,573.20
  5. Step 5: Solve for x
    x = 366,523,555,573.20/625,690
  6. Step 6: Final answer
    x = 585,790.98

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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.