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Finding the Fourth Proportional to 312,386.54, 468,575.67 and 75,731.36

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Solution

The fourth proportional to 312,386.54, 468,575.67 and 75,731.36 is: 113,596.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,386.54 : 468,575.67 = 75,731.36 : x
  2. Step 2: Convert to fraction form
    312,386.54/468,575.67 = 75,731.36/x
  3. Step 3: Cross multiply
    312,386.54x = 468,575.67 × 75,731.36
  4. Step 4: Simplify right side
    312,386.54x = 35,485,872,752.01
  5. Step 5: Solve for x
    x = 35,485,872,752.01/312,386.54
  6. Step 6: Final answer
    x = 113,596.04

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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.