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Finding the Fourth Proportional to 287,581.40, 431,372.10 and 252,589.40

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Solution

The fourth proportional to 287,581.40, 431,372.10 and 252,589.40 is: 378,884.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,581.40 : 431,372.10 = 252,589.40 : x
  2. Step 2: Convert to fraction form
    287,581.40/431,372.10 = 252,589.40/x
  3. Step 3: Cross multiply
    287,581.40x = 431,372.10 × 252,589.40
  4. Step 4: Simplify right side
    287,581.40x = 108,960,019,915.74
  5. Step 5: Solve for x
    x = 108,960,019,915.74/287,581.40
  6. Step 6: Final answer
    x = 378,884.10

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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.