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Finding the Fourth Proportional to 316,939.80, 475,411.88 and 80,283.16

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Solution

The fourth proportional to 316,939.80, 475,411.88 and 80,283.16 is: 120,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,939.80 : 475,411.88 = 80,283.16 : x
  2. Step 2: Convert to fraction form
    316,939.80/475,411.88 = 80,283.16/x
  3. Step 3: Cross multiply
    316,939.80x = 475,411.88 × 80,283.16
  4. Step 4: Simplify right side
    316,939.80x = 38,167,568,027.94
  5. Step 5: Solve for x
    x = 38,167,568,027.94/316,939.80
  6. Step 6: Final answer
    x = 120,425.29

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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.