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Finding the Fourth Proportional to 378,238.32, 567,570.78 and 209,737.53

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Solution

The fourth proportional to 378,238.32, 567,570.78 and 209,737.53 is: 314,724.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,238.32 : 567,570.78 = 209,737.53 : x
  2. Step 2: Convert to fraction form
    378,238.32/567,570.78 = 209,737.53/x
  3. Step 3: Cross multiply
    378,238.32x = 567,570.78 × 209,737.53
  4. Step 4: Simplify right side
    378,238.32x = 119,040,893,497.37
  5. Step 5: Solve for x
    x = 119,040,893,497.37/378,238.32
  6. Step 6: Final answer
    x = 314,724.57

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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.