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Finding the Fourth Proportional to 312,846.87, 469,405.56 and 132,971.82

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Solution

The fourth proportional to 312,846.87, 469,405.56 and 132,971.82 is: 199,515.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,846.87 : 469,405.56 = 132,971.82 : x
  2. Step 2: Convert to fraction form
    312,846.87/469,405.56 = 132,971.82/x
  3. Step 3: Cross multiply
    312,846.87x = 469,405.56 × 132,971.82
  4. Step 4: Simplify right side
    312,846.87x = 62,417,711,631.32
  5. Step 5: Solve for x
    x = 62,417,711,631.32/312,846.87
  6. Step 6: Final answer
    x = 199,515.22

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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.