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Finding the Fourth Proportional to 387,082.63, 534,207.71 and 215,034.06

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Solution

The fourth proportional to 387,082.63, 534,207.71 and 215,034.06 is: 296,765.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,082.63 : 534,207.71 = 215,034.06 : x
  2. Step 2: Convert to fraction form
    387,082.63/534,207.71 = 215,034.06/x
  3. Step 3: Cross multiply
    387,082.63x = 534,207.71 × 215,034.06
  4. Step 4: Simplify right side
    387,082.63x = 114,872,852,764.60
  5. Step 5: Solve for x
    x = 114,872,852,764.60/387,082.63
  6. Step 6: Final answer
    x = 296,765.71

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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.