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Finding the Fourth Proportional to 378,431.53, 567,647.30 and 178,772.10

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Solution

The fourth proportional to 378,431.53, 567,647.30 and 178,772.10 is: 268,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,431.53 : 567,647.30 = 178,772.10 : x
  2. Step 2: Convert to fraction form
    378,431.53/567,647.30 = 178,772.10/x
  3. Step 3: Cross multiply
    378,431.53x = 567,647.30 × 178,772.10
  4. Step 4: Simplify right side
    378,431.53x = 101,479,499,713.45
  5. Step 5: Solve for x
    x = 101,479,499,713.45/378,431.53
  6. Step 6: Final answer
    x = 268,158.15

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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.