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Finding the Fourth Proportional to 309,616.50, 464,502.78 and 88,000.50

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Solution

The fourth proportional to 309,616.50, 464,502.78 and 88,000.50 is: 132,022.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,616.50 : 464,502.78 = 88,000.50 : x
  2. Step 2: Convert to fraction form
    309,616.50/464,502.78 = 88,000.50/x
  3. Step 3: Cross multiply
    309,616.50x = 464,502.78 × 88,000.50
  4. Step 4: Simplify right side
    309,616.50x = 40,876,476,891.39
  5. Step 5: Solve for x
    x = 40,876,476,891.39/309,616.50
  6. Step 6: Final answer
    x = 132,022.93

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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.