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Finding the Fourth Proportional to 313,636.08, 471,387.24 and 147,540.72

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Solution

The fourth proportional to 313,636.08, 471,387.24 and 147,540.72 is: 221,750.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,636.08 : 471,387.24 = 147,540.72 : x
  2. Step 2: Convert to fraction form
    313,636.08/471,387.24 = 147,540.72/x
  3. Step 3: Cross multiply
    313,636.08x = 471,387.24 × 147,540.72
  4. Step 4: Simplify right side
    313,636.08x = 69,548,812,788.41
  5. Step 5: Solve for x
    x = 69,548,812,788.41/313,636.08
  6. Step 6: Final answer
    x = 221,750.04

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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.