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Finding the Fourth Proportional to 312,489.24, 468,106.92 and 143,774.52

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Solution

The fourth proportional to 312,489.24, 468,106.92 and 143,774.52 is: 215,373.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,489.24 : 468,106.92 = 143,774.52 : x
  2. Step 2: Convert to fraction form
    312,489.24/468,106.92 = 143,774.52/x
  3. Step 3: Cross multiply
    312,489.24x = 468,106.92 × 143,774.52
  4. Step 4: Simplify right side
    312,489.24x = 67,301,847,731.68
  5. Step 5: Solve for x
    x = 67,301,847,731.68/312,489.24
  6. Step 6: Final answer
    x = 215,373.33

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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.