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Finding the Fourth Proportional to 418,961.92, 578,158 and 227,975.84

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Solution

The fourth proportional to 418,961.92, 578,158 and 227,975.84 is: 314,601.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,961.92 : 578,158 = 227,975.84 : x
  2. Step 2: Convert to fraction form
    418,961.92/578,158 = 227,975.84/x
  3. Step 3: Cross multiply
    418,961.92x = 578,158 × 227,975.84
  4. Step 4: Simplify right side
    418,961.92x = 131,806,055,702.72
  5. Step 5: Solve for x
    x = 131,806,055,702.72/418,961.92
  6. Step 6: Final answer
    x = 314,601.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.