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Finding the Fourth Proportional to 312,449.85, 468,394.11 and 112,723.29

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Solution

The fourth proportional to 312,449.85, 468,394.11 and 112,723.29 is: 168,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,449.85 : 468,394.11 = 112,723.29 : x
  2. Step 2: Convert to fraction form
    312,449.85/468,394.11 = 112,723.29/x
  3. Step 3: Cross multiply
    312,449.85x = 468,394.11 × 112,723.29
  4. Step 4: Simplify right side
    312,449.85x = 52,798,925,095.82
  5. Step 5: Solve for x
    x = 52,798,925,095.82/312,449.85
  6. Step 6: Final answer
    x = 168,983.68

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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.