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Finding the Fourth Proportional to 312,813.80, 469,221.66 and 76,156.52

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Solution

The fourth proportional to 312,813.80, 469,221.66 and 76,156.52 is: 114,235.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,813.80 : 469,221.66 = 76,156.52 : x
  2. Step 2: Convert to fraction form
    312,813.80/469,221.66 = 76,156.52/x
  3. Step 3: Cross multiply
    312,813.80x = 469,221.66 × 76,156.52
  4. Step 4: Simplify right side
    312,813.80x = 35,734,288,734.22
  5. Step 5: Solve for x
    x = 35,734,288,734.22/312,813.80
  6. Step 6: Final answer
    x = 114,235.01

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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.