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Finding the Fourth Proportional to 431,165.20, 646,747.80 and 424,166.80

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Solution

The fourth proportional to 431,165.20, 646,747.80 and 424,166.80 is: 636,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,165.20 : 646,747.80 = 424,166.80 : x
  2. Step 2: Convert to fraction form
    431,165.20/646,747.80 = 424,166.80/x
  3. Step 3: Cross multiply
    431,165.20x = 646,747.80 × 424,166.80
  4. Step 4: Simplify right side
    431,165.20x = 274,328,944,733.04
  5. Step 5: Solve for x
    x = 274,328,944,733.04/431,165.20
  6. Step 6: Final answer
    x = 636,250.20

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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.