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Finding the Fourth Proportional to 378,654.40, 568,442.40 and 191,569.60

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Solution

The fourth proportional to 378,654.40, 568,442.40 and 191,569.60 is: 287,587.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,654.40 : 568,442.40 = 191,569.60 : x
  2. Step 2: Convert to fraction form
    378,654.40/568,442.40 = 191,569.60/x
  3. Step 3: Cross multiply
    378,654.40x = 568,442.40 × 191,569.60
  4. Step 4: Simplify right side
    378,654.40x = 108,896,283,191.04
  5. Step 5: Solve for x
    x = 108,896,283,191.04/378,654.40
  6. Step 6: Final answer
    x = 287,587.53

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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.