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Finding the Fourth Proportional to 378,419.60, 566,851.80 and 191,536.40

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Solution

The fourth proportional to 378,419.60, 566,851.80 and 191,536.40 is: 286,911.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,419.60 : 566,851.80 = 191,536.40 : x
  2. Step 2: Convert to fraction form
    378,419.60/566,851.80 = 191,536.40/x
  3. Step 3: Cross multiply
    378,419.60x = 566,851.80 × 191,536.40
  4. Step 4: Simplify right side
    378,419.60x = 108,572,753,105.52
  5. Step 5: Solve for x
    x = 108,572,753,105.52/378,419.60
  6. Step 6: Final answer
    x = 286,911.02

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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.