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Finding the Fourth Proportional to 312,129.80, 467,913.66 and 112,309.66

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Solution

The fourth proportional to 312,129.80, 467,913.66 and 112,309.66 is: 168,363.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,129.80 : 467,913.66 = 112,309.66 : x
  2. Step 2: Convert to fraction form
    312,129.80/467,913.66 = 112,309.66/x
  3. Step 3: Cross multiply
    312,129.80x = 467,913.66 × 112,309.66
  4. Step 4: Simplify right side
    312,129.80x = 52,551,226,175.44
  5. Step 5: Solve for x
    x = 52,551,226,175.44/312,129.80
  6. Step 6: Final answer
    x = 168,363.37

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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.