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Finding the Fourth Proportional to 285,459.54, 393,934.17 and 158,143.38

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Solution

The fourth proportional to 285,459.54, 393,934.17 and 158,143.38 is: 218,237.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,459.54 : 393,934.17 = 158,143.38 : x
  2. Step 2: Convert to fraction form
    285,459.54/393,934.17 = 158,143.38/x
  3. Step 3: Cross multiply
    285,459.54x = 393,934.17 × 158,143.38
  4. Step 4: Simplify right side
    285,459.54x = 62,298,081,141.29
  5. Step 5: Solve for x
    x = 62,298,081,141.29/285,459.54
  6. Step 6: Final answer
    x = 218,237.87

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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.