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Finding the Fourth Proportional to 288,155.20, 431,973.60 and 188,363.20

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Solution

The fourth proportional to 288,155.20, 431,973.60 and 188,363.20 is: 282,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,155.20 : 431,973.60 = 188,363.20 : x
  2. Step 2: Convert to fraction form
    288,155.20/431,973.60 = 188,363.20/x
  3. Step 3: Cross multiply
    288,155.20x = 431,973.60 × 188,363.20
  4. Step 4: Simplify right side
    288,155.20x = 81,367,929,611.52
  5. Step 5: Solve for x
    x = 81,367,929,611.52/288,155.20
  6. Step 6: Final answer
    x = 282,375.36

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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.