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Finding the Fourth Proportional to 288,517.86, 432,722.43 and 78,128.10

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Solution

The fourth proportional to 288,517.86, 432,722.43 and 78,128.10 is: 117,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,517.86 : 432,722.43 = 78,128.10 : x
  2. Step 2: Convert to fraction form
    288,517.86/432,722.43 = 78,128.10/x
  3. Step 3: Cross multiply
    288,517.86x = 432,722.43 × 78,128.10
  4. Step 4: Simplify right side
    288,517.86x = 33,807,781,283.28
  5. Step 5: Solve for x
    x = 33,807,781,283.28/288,517.86
  6. Step 6: Final answer
    x = 117,177.43

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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.