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Finding the Fourth Proportional to 312,868, 469,309.68 and 113,207.20

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Solution

The fourth proportional to 312,868, 469,309.68 and 113,207.20 is: 169,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,868 : 469,309.68 = 113,207.20 : x
  2. Step 2: Convert to fraction form
    312,868/469,309.68 = 113,207.20/x
  3. Step 3: Cross multiply
    312,868x = 469,309.68 × 113,207.20
  4. Step 4: Simplify right side
    312,868x = 53,129,234,805.70
  5. Step 5: Solve for x
    x = 53,129,234,805.70/312,868
  6. Step 6: Final answer
    x = 169,813.58

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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.