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Finding the Fourth Proportional to 378,130.60, 567,414.60 and 141,497.20

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Solution

The fourth proportional to 378,130.60, 567,414.60 and 141,497.20 is: 212,327.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,130.60 : 567,414.60 = 141,497.20 : x
  2. Step 2: Convert to fraction form
    378,130.60/567,414.60 = 141,497.20/x
  3. Step 3: Cross multiply
    378,130.60x = 567,414.60 × 141,497.20
  4. Step 4: Simplify right side
    378,130.60x = 80,287,577,139.12
  5. Step 5: Solve for x
    x = 80,287,577,139.12/378,130.60
  6. Step 6: Final answer
    x = 212,327.64

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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.