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Finding the Fourth Proportional to 312,406.76, 468,513.11 and 112,701.17

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Solution

The fourth proportional to 312,406.76, 468,513.11 and 112,701.17 is: 169,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,406.76 : 468,513.11 = 112,701.17 : x
  2. Step 2: Convert to fraction form
    312,406.76/468,513.11 = 112,701.17/x
  3. Step 3: Cross multiply
    312,406.76x = 468,513.11 × 112,701.17
  4. Step 4: Simplify right side
    312,406.76x = 52,801,972,751.27
  5. Step 5: Solve for x
    x = 52,801,972,751.27/312,406.76
  6. Step 6: Final answer
    x = 169,016.74

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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.