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Finding the Fourth Proportional to 378,503.28, 567,543.75 and 125,646.45

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Solution

The fourth proportional to 378,503.28, 567,543.75 and 125,646.45 is: 188,399.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,503.28 : 567,543.75 = 125,646.45 : x
  2. Step 2: Convert to fraction form
    378,503.28/567,543.75 = 125,646.45/x
  3. Step 3: Cross multiply
    378,503.28x = 567,543.75 × 125,646.45
  4. Step 4: Simplify right side
    378,503.28x = 71,309,857,407.19
  5. Step 5: Solve for x
    x = 71,309,857,407.19/378,503.28
  6. Step 6: Final answer
    x = 188,399.58

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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.