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Finding the Fourth Proportional to 309,612, 464,423.76 and 88,001.76

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Solution

The fourth proportional to 309,612, 464,423.76 and 88,001.76 is: 132,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,612 : 464,423.76 = 88,001.76 : x
  2. Step 2: Convert to fraction form
    309,612/464,423.76 = 88,001.76/x
  3. Step 3: Cross multiply
    309,612x = 464,423.76 × 88,001.76
  4. Step 4: Simplify right side
    309,612x = 40,870,108,265.82
  5. Step 5: Solve for x
    x = 40,870,108,265.82/309,612
  6. Step 6: Final answer
    x = 132,004.28

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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.