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Finding the Fourth Proportional to 287,539.20, 431,395.20 and 204,595.20

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Solution

The fourth proportional to 287,539.20, 431,395.20 and 204,595.20 is: 306,954.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,539.20 : 431,395.20 = 204,595.20 : x
  2. Step 2: Convert to fraction form
    287,539.20/431,395.20 = 204,595.20/x
  3. Step 3: Cross multiply
    287,539.20x = 431,395.20 × 204,595.20
  4. Step 4: Simplify right side
    287,539.20x = 88,261,387,223.04
  5. Step 5: Solve for x
    x = 88,261,387,223.04/287,539.20
  6. Step 6: Final answer
    x = 306,954.28

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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.