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Finding the Fourth Proportional to 339,593.63, 509,407.88 and 86,876.30

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Solution

The fourth proportional to 339,593.63, 509,407.88 and 86,876.30 is: 130,318.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,593.63 : 509,407.88 = 86,876.30 : x
  2. Step 2: Convert to fraction form
    339,593.63/509,407.88 = 86,876.30/x
  3. Step 3: Cross multiply
    339,593.63x = 509,407.88 × 86,876.30
  4. Step 4: Simplify right side
    339,593.63x = 44,255,472,644.38
  5. Step 5: Solve for x
    x = 44,255,472,644.38/339,593.63
  6. Step 6: Final answer
    x = 130,318.91

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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.