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Finding the Fourth Proportional to 391,545.20, 540,203.86 and 219,438

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Solution

The fourth proportional to 391,545.20, 540,203.86 and 219,438 is: 302,752.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,545.20 : 540,203.86 = 219,438 : x
  2. Step 2: Convert to fraction form
    391,545.20/540,203.86 = 219,438/x
  3. Step 3: Cross multiply
    391,545.20x = 540,203.86 × 219,438
  4. Step 4: Simplify right side
    391,545.20x = 118,541,254,630.68
  5. Step 5: Solve for x
    x = 118,541,254,630.68/391,545.20
  6. Step 6: Final answer
    x = 302,752.41

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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.