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Finding the Fourth Proportional to 340,478.48, 469,788.80 and 197,229.92

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Solution

The fourth proportional to 340,478.48, 469,788.80 and 197,229.92 is: 272,135.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,478.48 : 469,788.80 = 197,229.92 : x
  2. Step 2: Convert to fraction form
    340,478.48/469,788.80 = 197,229.92/x
  3. Step 3: Cross multiply
    340,478.48x = 469,788.80 × 197,229.92
  4. Step 4: Simplify right side
    340,478.48x = 92,656,407,440.90
  5. Step 5: Solve for x
    x = 92,656,407,440.90/340,478.48
  6. Step 6: Final answer
    x = 272,135.87

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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.