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Finding the Fourth Proportional to 287,638.60, 431,069.10 and 254,201.80

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Solution

The fourth proportional to 287,638.60, 431,069.10 and 254,201.80 is: 380,959.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,638.60 : 431,069.10 = 254,201.80 : x
  2. Step 2: Convert to fraction form
    287,638.60/431,069.10 = 254,201.80/x
  3. Step 3: Cross multiply
    287,638.60x = 431,069.10 × 254,201.80
  4. Step 4: Simplify right side
    287,638.60x = 109,578,541,144.38
  5. Step 5: Solve for x
    x = 109,578,541,144.38/287,638.60
  6. Step 6: Final answer
    x = 380,959.10

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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.