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Finding the Fourth Proportional to 386,120.50, 532,824.50 and 225,001.78

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Solution

The fourth proportional to 386,120.50, 532,824.50 and 225,001.78 is: 310,489.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,120.50 : 532,824.50 = 225,001.78 : x
  2. Step 2: Convert to fraction form
    386,120.50/532,824.50 = 225,001.78/x
  3. Step 3: Cross multiply
    386,120.50x = 532,824.50 × 225,001.78
  4. Step 4: Simplify right side
    386,120.50x = 119,886,460,158.05
  5. Step 5: Solve for x
    x = 119,886,460,158.05/386,120.50
  6. Step 6: Final answer
    x = 310,489.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.