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Finding the Fourth Proportional to 301,293.92, 415,767.68 and 172,246.40

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Solution

The fourth proportional to 301,293.92, 415,767.68 and 172,246.40 is: 237,689.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,293.92 : 415,767.68 = 172,246.40 : x
  2. Step 2: Convert to fraction form
    301,293.92/415,767.68 = 172,246.40/x
  3. Step 3: Cross multiply
    301,293.92x = 415,767.68 × 172,246.40
  4. Step 4: Simplify right side
    301,293.92x = 71,614,486,116.35
  5. Step 5: Solve for x
    x = 71,614,486,116.35/301,293.92
  6. Step 6: Final answer
    x = 237,689.78

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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.