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Finding the Fourth Proportional to 277,862, 416,804.52 and 80,870

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Solution

The fourth proportional to 277,862, 416,804.52 and 80,870 is: 121,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,862 : 416,804.52 = 80,870 : x
  2. Step 2: Convert to fraction form
    277,862/416,804.52 = 80,870/x
  3. Step 3: Cross multiply
    277,862x = 416,804.52 × 80,870
  4. Step 4: Simplify right side
    277,862x = 33,706,981,532.40
  5. Step 5: Solve for x
    x = 33,706,981,532.40/277,862
  6. Step 6: Final answer
    x = 121,308.35

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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.