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Finding the Fourth Proportional to 287,540.20, 431,310.30 and 77,199.40

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Solution

The fourth proportional to 287,540.20, 431,310.30 and 77,199.40 is: 115,799.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,540.20 : 431,310.30 = 77,199.40 : x
  2. Step 2: Convert to fraction form
    287,540.20/431,310.30 = 77,199.40/x
  3. Step 3: Cross multiply
    287,540.20x = 431,310.30 × 77,199.40
  4. Step 4: Simplify right side
    287,540.20x = 33,296,896,373.82
  5. Step 5: Solve for x
    x = 33,296,896,373.82/287,540.20
  6. Step 6: Final answer
    x = 115,799.10

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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.