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Finding the Fourth Proportional to 306,384, 422,809.92 and 172,248.96

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Solution

The fourth proportional to 306,384, 422,809.92 and 172,248.96 is: 237,703.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,384 : 422,809.92 = 172,248.96 : x
  2. Step 2: Convert to fraction form
    306,384/422,809.92 = 172,248.96/x
  3. Step 3: Cross multiply
    306,384x = 422,809.92 × 172,248.96
  4. Step 4: Simplify right side
    306,384x = 72,828,568,997.68
  5. Step 5: Solve for x
    x = 72,828,568,997.68/306,384
  6. Step 6: Final answer
    x = 237,703.56

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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.