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Finding the Fourth Proportional to 312,387.04, 468,576.42 and 75,731.86

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Solution

The fourth proportional to 312,387.04, 468,576.42 and 75,731.86 is: 113,596.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,387.04 : 468,576.42 = 75,731.86 : x
  2. Step 2: Convert to fraction form
    312,387.04/468,576.42 = 75,731.86/x
  3. Step 3: Cross multiply
    312,387.04x = 468,576.42 × 75,731.86
  4. Step 4: Simplify right side
    312,387.04x = 35,486,163,838.74
  5. Step 5: Solve for x
    x = 35,486,163,838.74/312,387.04
  6. Step 6: Final answer
    x = 113,596.79

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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.