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Finding the Fourth Proportional to 287,443.20, 431,164.80 and 265,791.90

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Solution

The fourth proportional to 287,443.20, 431,164.80 and 265,791.90 is: 398,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,443.20 : 431,164.80 = 265,791.90 : x
  2. Step 2: Convert to fraction form
    287,443.20/431,164.80 = 265,791.90/x
  3. Step 3: Cross multiply
    287,443.20x = 431,164.80 × 265,791.90
  4. Step 4: Simplify right side
    287,443.20x = 114,600,111,405.12
  5. Step 5: Solve for x
    x = 114,600,111,405.12/287,443.20
  6. Step 6: Final answer
    x = 398,687.85

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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.