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Finding the Fourth Proportional to 309,639.50, 464,537.31 and 88,023.50

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Solution

The fourth proportional to 309,639.50, 464,537.31 and 88,023.50 is: 132,057.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,639.50 : 464,537.31 = 88,023.50 : x
  2. Step 2: Convert to fraction form
    309,639.50/464,537.31 = 88,023.50/x
  3. Step 3: Cross multiply
    309,639.50x = 464,537.31 × 88,023.50
  4. Step 4: Simplify right side
    309,639.50x = 40,890,199,906.79
  5. Step 5: Solve for x
    x = 40,890,199,906.79/309,639.50
  6. Step 6: Final answer
    x = 132,057.44

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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.