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Finding the Fourth Proportional to 304,691.90, 420,036.63 and 213,766.16

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Solution

The fourth proportional to 304,691.90, 420,036.63 and 213,766.16 is: 294,689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,691.90 : 420,036.63 = 213,766.16 : x
  2. Step 2: Convert to fraction form
    304,691.90/420,036.63 = 213,766.16/x
  3. Step 3: Cross multiply
    304,691.90x = 420,036.63 × 213,766.16
  4. Step 4: Simplify right side
    304,691.90x = 89,789,617,454.44
  5. Step 5: Solve for x
    x = 89,789,617,454.44/304,691.90
  6. Step 6: Final answer
    x = 294,689.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.