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Finding the Fourth Proportional to 287,620.80, 431,431.19 and 110,127.80

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Solution

The fourth proportional to 287,620.80, 431,431.19 and 110,127.80 is: 165,191.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,620.80 : 431,431.19 = 110,127.80 : x
  2. Step 2: Convert to fraction form
    287,620.80/431,431.19 = 110,127.80/x
  3. Step 3: Cross multiply
    287,620.80x = 431,431.19 × 110,127.80
  4. Step 4: Simplify right side
    287,620.80x = 47,512,569,366.47
  5. Step 5: Solve for x
    x = 47,512,569,366.47/287,620.80
  6. Step 6: Final answer
    x = 165,191.70

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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.