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Finding the Fourth Proportional to 312,891.26, 469,335.97 and 113,210.87

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Solution

The fourth proportional to 312,891.26, 469,335.97 and 113,210.87 is: 169,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,891.26 : 469,335.97 = 113,210.87 : x
  2. Step 2: Convert to fraction form
    312,891.26/469,335.97 = 113,210.87/x
  3. Step 3: Cross multiply
    312,891.26x = 469,335.97 × 113,210.87
  4. Step 4: Simplify right side
    312,891.26x = 53,133,931,280.83
  5. Step 5: Solve for x
    x = 53,133,931,280.83/312,891.26
  6. Step 6: Final answer
    x = 169,815.97

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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.