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Finding the Fourth Proportional to 316,939.74, 475,426.92 and 80,284.47

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Solution

The fourth proportional to 316,939.74, 475,426.92 and 80,284.47 is: 120,431.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,939.74 : 475,426.92 = 80,284.47 : x
  2. Step 2: Convert to fraction form
    316,939.74/475,426.92 = 80,284.47/x
  3. Step 3: Cross multiply
    316,939.74x = 475,426.92 × 80,284.47
  4. Step 4: Simplify right side
    316,939.74x = 38,169,398,295.93
  5. Step 5: Solve for x
    x = 38,169,398,295.93/316,939.74
  6. Step 6: Final answer
    x = 120,431.09

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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.