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Finding the Fourth Proportional to 227,980, 314,612.52 and 127,378

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Solution

The fourth proportional to 227,980, 314,612.52 and 127,378 is: 175,781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,980 : 314,612.52 = 127,378 : x
  2. Step 2: Convert to fraction form
    227,980/314,612.52 = 127,378/x
  3. Step 3: Cross multiply
    227,980x = 314,612.52 × 127,378
  4. Step 4: Simplify right side
    227,980x = 40,074,713,572.56
  5. Step 5: Solve for x
    x = 40,074,713,572.56/227,980
  6. Step 6: Final answer
    x = 175,781.71

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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.