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Finding the Fourth Proportional to 431,490.40, 648,013.20 and 417,493.60

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Solution

The fourth proportional to 431,490.40, 648,013.20 and 417,493.60 is: 626,992.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,490.40 : 648,013.20 = 417,493.60 : x
  2. Step 2: Convert to fraction form
    431,490.40/648,013.20 = 417,493.60/x
  3. Step 3: Cross multiply
    431,490.40x = 648,013.20 × 417,493.60
  4. Step 4: Simplify right side
    431,490.40x = 270,541,363,715.52
  5. Step 5: Solve for x
    x = 270,541,363,715.52/431,490.40
  6. Step 6: Final answer
    x = 626,992.78

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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.