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Finding the Fourth Proportional to 378,419.04, 567,612 and 94,103.64

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Solution

The fourth proportional to 378,419.04, 567,612 and 94,103.64 is: 141,151.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,419.04 : 567,612 = 94,103.64 : x
  2. Step 2: Convert to fraction form
    378,419.04/567,612 = 94,103.64/x
  3. Step 3: Cross multiply
    378,419.04x = 567,612 × 94,103.64
  4. Step 4: Simplify right side
    378,419.04x = 53,414,355,307.68
  5. Step 5: Solve for x
    x = 53,414,355,307.68/378,419.04
  6. Step 6: Final answer
    x = 141,151.34

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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.