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Finding the Fourth Proportional to 315,842.28, 435,824.16 and 179,876.52

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Solution

The fourth proportional to 315,842.28, 435,824.16 and 179,876.52 is: 248,207.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,842.28 : 435,824.16 = 179,876.52 : x
  2. Step 2: Convert to fraction form
    315,842.28/435,824.16 = 179,876.52/x
  3. Step 3: Cross multiply
    315,842.28x = 435,824.16 × 179,876.52
  4. Step 4: Simplify right side
    315,842.28x = 78,394,533,232.72
  5. Step 5: Solve for x
    x = 78,394,533,232.72/315,842.28
  6. Step 6: Final answer
    x = 248,207.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.