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Finding the Fourth Proportional to 408,065.52, 612,201.96 and 239,728.17

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Solution

The fourth proportional to 408,065.52, 612,201.96 and 239,728.17 is: 359,653.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,065.52 : 612,201.96 = 239,728.17 : x
  2. Step 2: Convert to fraction form
    408,065.52/612,201.96 = 239,728.17/x
  3. Step 3: Cross multiply
    408,065.52x = 612,201.96 × 239,728.17
  4. Step 4: Simplify right side
    408,065.52x = 146,762,055,541.21
  5. Step 5: Solve for x
    x = 146,762,055,541.21/408,065.52
  6. Step 6: Final answer
    x = 359,653.16

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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.