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Finding the Fourth Proportional to 287,612.20, 431,418.30 and 188,079.40

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Solution

The fourth proportional to 287,612.20, 431,418.30 and 188,079.40 is: 282,119.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,612.20 : 431,418.30 = 188,079.40 : x
  2. Step 2: Convert to fraction form
    287,612.20/431,418.30 = 188,079.40/x
  3. Step 3: Cross multiply
    287,612.20x = 431,418.30 × 188,079.40
  4. Step 4: Simplify right side
    287,612.20x = 81,140,895,013.02
  5. Step 5: Solve for x
    x = 81,140,895,013.02/287,612.20
  6. Step 6: Final answer
    x = 282,119.10

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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.