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Finding the Fourth Proportional to 402,278.42, 555,082.57 and 232,479.78

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Solution

The fourth proportional to 402,278.42, 555,082.57 and 232,479.78 is: 320,786.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,278.42 : 555,082.57 = 232,479.78 : x
  2. Step 2: Convert to fraction form
    402,278.42/555,082.57 = 232,479.78/x
  3. Step 3: Cross multiply
    402,278.42x = 555,082.57 × 232,479.78
  4. Step 4: Simplify right side
    402,278.42x = 129,045,473,755.44
  5. Step 5: Solve for x
    x = 129,045,473,755.44/402,278.42
  6. Step 6: Final answer
    x = 320,786.47

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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.