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Finding the Fourth Proportional to 378,804.10, 568,144.14 and 154,155.46

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Solution

The fourth proportional to 378,804.10, 568,144.14 and 154,155.46 is: 231,207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,804.10 : 568,144.14 = 154,155.46 : x
  2. Step 2: Convert to fraction form
    378,804.10/568,144.14 = 154,155.46/x
  3. Step 3: Cross multiply
    378,804.10x = 568,144.14 × 154,155.46
  4. Step 4: Simplify right side
    378,804.10x = 87,582,521,248.00
  5. Step 5: Solve for x
    x = 87,582,521,248.00/378,804.10
  6. Step 6: Final answer
    x = 231,207.95

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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.