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Finding the Fourth Proportional to 335,129.34, 502,689.62 and 82,412

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Solution

The fourth proportional to 335,129.34, 502,689.62 and 82,412 is: 123,616.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,129.34 : 502,689.62 = 82,412 : x
  2. Step 2: Convert to fraction form
    335,129.34/502,689.62 = 82,412/x
  3. Step 3: Cross multiply
    335,129.34x = 502,689.62 × 82,412
  4. Step 4: Simplify right side
    335,129.34x = 41,427,656,963.44
  5. Step 5: Solve for x
    x = 41,427,656,963.44/335,129.34
  6. Step 6: Final answer
    x = 123,616.92

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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.