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Finding the Fourth Proportional to 225,400, 337,973.52 and 154,402.88

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Solution

The fourth proportional to 225,400, 337,973.52 and 154,402.88 is: 231,517.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,400 : 337,973.52 = 154,402.88 : x
  2. Step 2: Convert to fraction form
    225,400/337,973.52 = 154,402.88/x
  3. Step 3: Cross multiply
    225,400x = 337,973.52 × 154,402.88
  4. Step 4: Simplify right side
    225,400x = 52,184,084,851.74
  5. Step 5: Solve for x
    x = 52,184,084,851.74/225,400
  6. Step 6: Final answer
    x = 231,517.68

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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.