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Finding the Fourth Proportional to 306,398.28, 422,829.59 and 172,262.28

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Solution

The fourth proportional to 306,398.28, 422,829.59 and 172,262.28 is: 237,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,398.28 : 422,829.59 = 172,262.28 : x
  2. Step 2: Convert to fraction form
    306,398.28/422,829.59 = 172,262.28/x
  3. Step 3: Cross multiply
    306,398.28x = 422,829.59 × 172,262.28
  4. Step 4: Simplify right side
    306,398.28x = 72,837,589,224.87
  5. Step 5: Solve for x
    x = 72,837,589,224.87/306,398.28
  6. Step 6: Final answer
    x = 237,721.93

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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.