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Finding the Fourth Proportional to 387,995.76, 582,034.14 and 107,513.28

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Solution

The fourth proportional to 387,995.76, 582,034.14 and 107,513.28 is: 161,281.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,995.76 : 582,034.14 = 107,513.28 : x
  2. Step 2: Convert to fraction form
    387,995.76/582,034.14 = 107,513.28/x
  3. Step 3: Cross multiply
    387,995.76x = 582,034.14 × 107,513.28
  4. Step 4: Simplify right side
    387,995.76x = 62,576,399,463.38
  5. Step 5: Solve for x
    x = 62,576,399,463.38/387,995.76
  6. Step 6: Final answer
    x = 161,281.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.