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Finding the Fourth Proportional to 400,685.34, 552,945.92 and 219,408.76

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Solution

The fourth proportional to 400,685.34, 552,945.92 and 219,408.76 is: 302,784.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,685.34 : 552,945.92 = 219,408.76 : x
  2. Step 2: Convert to fraction form
    400,685.34/552,945.92 = 219,408.76/x
  3. Step 3: Cross multiply
    400,685.34x = 552,945.92 × 219,408.76
  4. Step 4: Simplify right side
    400,685.34x = 121,321,176,174.85
  5. Step 5: Solve for x
    x = 121,321,176,174.85/400,685.34
  6. Step 6: Final answer
    x = 302,784.17

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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.