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Finding the Fourth Proportional to 229,649.43, 316,923.10 and 126,278.28

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Solution

The fourth proportional to 229,649.43, 316,923.10 and 126,278.28 is: 174,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,649.43 : 316,923.10 = 126,278.28 : x
  2. Step 2: Convert to fraction form
    229,649.43/316,923.10 = 126,278.28/x
  3. Step 3: Cross multiply
    229,649.43x = 316,923.10 × 126,278.28
  4. Step 4: Simplify right side
    229,649.43x = 40,020,503,644.57
  5. Step 5: Solve for x
    x = 40,020,503,644.57/229,649.43
  6. Step 6: Final answer
    x = 174,267.81

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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.