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Finding the Fourth Proportional to 287,959.20, 431,938.80 and 193,480.80

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Solution

The fourth proportional to 287,959.20, 431,938.80 and 193,480.80 is: 290,221.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,959.20 : 431,938.80 = 193,480.80 : x
  2. Step 2: Convert to fraction form
    287,959.20/431,938.80 = 193,480.80/x
  3. Step 3: Cross multiply
    287,959.20x = 431,938.80 × 193,480.80
  4. Step 4: Simplify right side
    287,959.20x = 83,571,864,575.04
  5. Step 5: Solve for x
    x = 83,571,864,575.04/287,959.20
  6. Step 6: Final answer
    x = 290,221.20

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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.