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Finding the Fourth Proportional to 408,487.16, 611,420.60 and 218,472.40

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Solution

The fourth proportional to 408,487.16, 611,420.60 and 218,472.40 is: 327,007.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,487.16 : 611,420.60 = 218,472.40 : x
  2. Step 2: Convert to fraction form
    408,487.16/611,420.60 = 218,472.40/x
  3. Step 3: Cross multiply
    408,487.16x = 611,420.60 × 218,472.40
  4. Step 4: Simplify right side
    408,487.16x = 133,578,526,679.19
  5. Step 5: Solve for x
    x = 133,578,526,679.19/408,487.16
  6. Step 6: Final answer
    x = 327,007.89

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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.