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Finding the Fourth Proportional to 378,001.91, 566,806.03 and 178,268.67

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Solution

The fourth proportional to 378,001.91, 566,806.03 and 178,268.67 is: 267,310.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,001.91 : 566,806.03 = 178,268.67 : x
  2. Step 2: Convert to fraction form
    378,001.91/566,806.03 = 178,268.67/x
  3. Step 3: Cross multiply
    378,001.91x = 566,806.03 × 178,268.67
  4. Step 4: Simplify right side
    378,001.91x = 101,043,756,670.41
  5. Step 5: Solve for x
    x = 101,043,756,670.41/378,001.91
  6. Step 6: Final answer
    x = 267,310.17

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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.