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Finding the Fourth Proportional to 487,832.91, 731,745.26 and 381,306.47

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Solution

The fourth proportional to 487,832.91, 731,745.26 and 381,306.47 is: 571,956.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,832.91 : 731,745.26 = 381,306.47 : x
  2. Step 2: Convert to fraction form
    487,832.91/731,745.26 = 381,306.47/x
  3. Step 3: Cross multiply
    487,832.91x = 731,745.26 × 381,306.47
  4. Step 4: Simplify right side
    487,832.91x = 279,019,196,464.57
  5. Step 5: Solve for x
    x = 279,019,196,464.57/487,832.91
  6. Step 6: Final answer
    x = 571,956.48

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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.