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Finding the Fourth Proportional to 386,123.50, 532,828.64 and 225,004.78

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Solution

The fourth proportional to 386,123.50, 532,828.64 and 225,004.78 is: 310,493.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,123.50 : 532,828.64 = 225,004.78 : x
  2. Step 2: Convert to fraction form
    386,123.50/532,828.64 = 225,004.78/x
  3. Step 3: Cross multiply
    386,123.50x = 532,828.64 × 225,004.78
  4. Step 4: Simplify right side
    386,123.50x = 119,888,990,920.90
  5. Step 5: Solve for x
    x = 119,888,990,920.90/386,123.50
  6. Step 6: Final answer
    x = 310,493.90

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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.