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Finding the Fourth Proportional to 431,092.24, 595,045.16 and 278,134.72

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Solution

The fourth proportional to 431,092.24, 595,045.16 and 278,134.72 is: 383,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,092.24 : 595,045.16 = 278,134.72 : x
  2. Step 2: Convert to fraction form
    431,092.24/595,045.16 = 278,134.72/x
  3. Step 3: Cross multiply
    431,092.24x = 595,045.16 × 278,134.72
  4. Step 4: Simplify right side
    431,092.24x = 165,502,718,963.96
  5. Step 5: Solve for x
    x = 165,502,718,963.96/431,092.24
  6. Step 6: Final answer
    x = 383,914.86

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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.