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Finding the Fourth Proportional to 432,923.52, 646,215 and 381,791.82

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Solution

The fourth proportional to 432,923.52, 646,215 and 381,791.82 is: 569,891.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,923.52 : 646,215 = 381,791.82 : x
  2. Step 2: Convert to fraction form
    432,923.52/646,215 = 381,791.82/x
  3. Step 3: Cross multiply
    432,923.52x = 646,215 × 381,791.82
  4. Step 4: Simplify right side
    432,923.52x = 246,719,600,961.30
  5. Step 5: Solve for x
    x = 246,719,600,961.30/432,923.52
  6. Step 6: Final answer
    x = 569,891.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.