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Finding the Fourth Proportional to 487,439.40, 731,591.10 and 287,509.80

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Solution

The fourth proportional to 487,439.40, 731,591.10 and 287,509.80 is: 431,519.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,439.40 : 731,591.10 = 287,509.80 : x
  2. Step 2: Convert to fraction form
    487,439.40/731,591.10 = 287,509.80/x
  3. Step 3: Cross multiply
    487,439.40x = 731,591.10 × 287,509.80
  4. Step 4: Simplify right side
    487,439.40x = 210,339,610,842.78
  5. Step 5: Solve for x
    x = 210,339,610,842.78/487,439.40
  6. Step 6: Final answer
    x = 431,519.51

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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.