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Finding the Fourth Proportional to 378,534.60, 568,020.60 and 141,901.20

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Solution

The fourth proportional to 378,534.60, 568,020.60 and 141,901.20 is: 212,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,534.60 : 568,020.60 = 141,901.20 : x
  2. Step 2: Convert to fraction form
    378,534.60/568,020.60 = 141,901.20/x
  3. Step 3: Cross multiply
    378,534.60x = 568,020.60 × 141,901.20
  4. Step 4: Simplify right side
    378,534.60x = 80,602,804,764.72
  5. Step 5: Solve for x
    x = 80,602,804,764.72/378,534.60
  6. Step 6: Final answer
    x = 212,933.78

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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.