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Finding the Fourth Proportional to 312,387.36, 468,576.88 and 75,732.16

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Solution

The fourth proportional to 312,387.36, 468,576.88 and 75,732.16 is: 113,597.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,387.36 : 468,576.88 = 75,732.16 : x
  2. Step 2: Convert to fraction form
    312,387.36/468,576.88 = 75,732.16/x
  3. Step 3: Cross multiply
    312,387.36x = 468,576.88 × 75,732.16
  4. Step 4: Simplify right side
    312,387.36x = 35,486,339,248.46
  5. Step 5: Solve for x
    x = 35,486,339,248.46/312,387.36
  6. Step 6: Final answer
    x = 113,597.23

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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.