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Finding the Fourth Proportional to 312,399.46, 468,604.95 and 112,734.82

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Solution

The fourth proportional to 312,399.46, 468,604.95 and 112,734.82 is: 169,104.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,399.46 : 468,604.95 = 112,734.82 : x
  2. Step 2: Convert to fraction form
    312,399.46/468,604.95 = 112,734.82/x
  3. Step 3: Cross multiply
    312,399.46x = 468,604.95 × 112,734.82
  4. Step 4: Simplify right side
    312,399.46x = 52,828,094,689.36
  5. Step 5: Solve for x
    x = 52,828,094,689.36/312,399.46
  6. Step 6: Final answer
    x = 169,104.31

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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.