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Finding the Fourth Proportional to 543,142.08, 814,518.72 and 188,060.76

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Solution

The fourth proportional to 543,142.08, 814,518.72 and 188,060.76 is: 282,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,142.08 : 814,518.72 = 188,060.76 : x
  2. Step 2: Convert to fraction form
    543,142.08/814,518.72 = 188,060.76/x
  3. Step 3: Cross multiply
    543,142.08x = 814,518.72 × 188,060.76
  4. Step 4: Simplify right side
    543,142.08x = 153,179,009,517.43
  5. Step 5: Solve for x
    x = 153,179,009,517.43/543,142.08
  6. Step 6: Final answer
    x = 282,023.83

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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.