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Finding the Fourth Proportional to 378,258.40, 567,182.80 and 156,664.80

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Solution

The fourth proportional to 378,258.40, 567,182.80 and 156,664.80 is: 234,912.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,258.40 : 567,182.80 = 156,664.80 : x
  2. Step 2: Convert to fraction form
    378,258.40/567,182.80 = 156,664.80/x
  3. Step 3: Cross multiply
    378,258.40x = 567,182.80 × 156,664.80
  4. Step 4: Simplify right side
    378,258.40x = 88,857,579,925.44
  5. Step 5: Solve for x
    x = 88,857,579,925.44/378,258.40
  6. Step 6: Final answer
    x = 234,912.38

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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.