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Finding the Fourth Proportional to 378,129.60, 567,194.40 and 111,931.20

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Solution

The fourth proportional to 378,129.60, 567,194.40 and 111,931.20 is: 167,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,129.60 : 567,194.40 = 111,931.20 : x
  2. Step 2: Convert to fraction form
    378,129.60/567,194.40 = 111,931.20/x
  3. Step 3: Cross multiply
    378,129.60x = 567,194.40 × 111,931.20
  4. Step 4: Simplify right side
    378,129.60x = 63,486,749,825.28
  5. Step 5: Solve for x
    x = 63,486,749,825.28/378,129.60
  6. Step 6: Final answer
    x = 167,896.80

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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.