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Finding the Fourth Proportional to 408,257.52, 611,076 and 218,242.72

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Solution

The fourth proportional to 408,257.52, 611,076 and 218,242.72 is: 326,663.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,257.52 : 611,076 = 218,242.72 : x
  2. Step 2: Convert to fraction form
    408,257.52/611,076 = 218,242.72/x
  3. Step 3: Cross multiply
    408,257.52x = 611,076 × 218,242.72
  4. Step 4: Simplify right side
    408,257.52x = 133,362,888,366.72
  5. Step 5: Solve for x
    x = 133,362,888,366.72/408,257.52
  6. Step 6: Final answer
    x = 326,663.64

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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.