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Finding the Fourth Proportional to 275,443.92, 413,167.70 and 75,785.40

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Solution

The fourth proportional to 275,443.92, 413,167.70 and 75,785.40 is: 113,678.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,443.92 : 413,167.70 = 75,785.40 : x
  2. Step 2: Convert to fraction form
    275,443.92/413,167.70 = 75,785.40/x
  3. Step 3: Cross multiply
    275,443.92x = 413,167.70 × 75,785.40
  4. Step 4: Simplify right side
    275,443.92x = 31,312,079,411.58
  5. Step 5: Solve for x
    x = 31,312,079,411.58/275,443.92
  6. Step 6: Final answer
    x = 113,678.60

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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.