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Finding the Fourth Proportional to 312,422.70, 468,537.17 and 112,717.13

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Solution

The fourth proportional to 312,422.70, 468,537.17 and 112,717.13 is: 169,040.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,422.70 : 468,537.17 = 112,717.13 : x
  2. Step 2: Convert to fraction form
    312,422.70/468,537.17 = 112,717.13/x
  3. Step 3: Cross multiply
    312,422.70x = 468,537.17 × 112,717.13
  4. Step 4: Simplify right side
    312,422.70x = 52,812,165,100.72
  5. Step 5: Solve for x
    x = 52,812,165,100.72/312,422.70
  6. Step 6: Final answer
    x = 169,040.74

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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.