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Finding the Fourth Proportional to 411,133.72, 616,419.92 and 219,036.88

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Solution

The fourth proportional to 411,133.72, 616,419.92 and 219,036.88 is: 328,405.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,133.72 : 616,419.92 = 219,036.88 : x
  2. Step 2: Convert to fraction form
    411,133.72/616,419.92 = 219,036.88/x
  3. Step 3: Cross multiply
    411,133.72x = 616,419.92 × 219,036.88
  4. Step 4: Simplify right side
    411,133.72x = 135,018,696,046.65
  5. Step 5: Solve for x
    x = 135,018,696,046.65/411,133.72
  6. Step 6: Final answer
    x = 328,405.79

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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.