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Finding the Fourth Proportional to 287,583.40, 431,375.10 and 252,591.40

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Solution

The fourth proportional to 287,583.40, 431,375.10 and 252,591.40 is: 378,887.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,583.40 : 431,375.10 = 252,591.40 : x
  2. Step 2: Convert to fraction form
    287,583.40/431,375.10 = 252,591.40/x
  3. Step 3: Cross multiply
    287,583.40x = 431,375.10 × 252,591.40
  4. Step 4: Simplify right side
    287,583.40x = 108,961,640,434.14
  5. Step 5: Solve for x
    x = 108,961,640,434.14/287,583.40
  6. Step 6: Final answer
    x = 378,887.10

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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.