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Finding the Fourth Proportional to 408,258.52, 611,077.50 and 218,243.72

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Solution

The fourth proportional to 408,258.52, 611,077.50 and 218,243.72 is: 326,665.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,258.52 : 611,077.50 = 218,243.72 : x
  2. Step 2: Convert to fraction form
    408,258.52/611,077.50 = 218,243.72/x
  3. Step 3: Cross multiply
    408,258.52x = 611,077.50 × 218,243.72
  4. Step 4: Simplify right side
    408,258.52x = 133,363,826,808.30
  5. Step 5: Solve for x
    x = 133,363,826,808.30/408,258.52
  6. Step 6: Final answer
    x = 326,665.14

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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.