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Finding the Fourth Proportional to 378,618.48, 567,113.40 and 178,639.28

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Solution

The fourth proportional to 378,618.48, 567,113.40 and 178,639.28 is: 267,574.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,618.48 : 567,113.40 = 178,639.28 : x
  2. Step 2: Convert to fraction form
    378,618.48/567,113.40 = 178,639.28/x
  3. Step 3: Cross multiply
    378,618.48x = 567,113.40 × 178,639.28
  4. Step 4: Simplify right side
    378,618.48x = 101,308,729,454.35
  5. Step 5: Solve for x
    x = 101,308,729,454.35/378,618.48
  6. Step 6: Final answer
    x = 267,574.71

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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.