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Finding the Fourth Proportional to 217,648.78, 300,415.71 and 127,023.82

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Solution

The fourth proportional to 217,648.78, 300,415.71 and 127,023.82 is: 175,328.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,648.78 : 300,415.71 = 127,023.82 : x
  2. Step 2: Convert to fraction form
    217,648.78/300,415.71 = 127,023.82/x
  3. Step 3: Cross multiply
    217,648.78x = 300,415.71 × 127,023.82
  4. Step 4: Simplify right side
    217,648.78x = 38,159,951,072.21
  5. Step 5: Solve for x
    x = 38,159,951,072.21/217,648.78
  6. Step 6: Final answer
    x = 175,328.12

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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.