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Finding the Fourth Proportional to 467,098.52, 644,700.87 and 305,859.92

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Solution

The fourth proportional to 467,098.52, 644,700.87 and 305,859.92 is: 422,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,098.52 : 644,700.87 = 305,859.92 : x
  2. Step 2: Convert to fraction form
    467,098.52/644,700.87 = 305,859.92/x
  3. Step 3: Cross multiply
    467,098.52x = 644,700.87 × 305,859.92
  4. Step 4: Simplify right side
    467,098.52x = 197,188,156,522.13
  5. Step 5: Solve for x
    x = 197,188,156,522.13/467,098.52
  6. Step 6: Final answer
    x = 422,155.39

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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.