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Finding the Fourth Proportional to 329,749.92, 455,013.52 and 195,588

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Solution

The fourth proportional to 329,749.92, 455,013.52 and 195,588 is: 269,886.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,749.92 : 455,013.52 = 195,588 : x
  2. Step 2: Convert to fraction form
    329,749.92/455,013.52 = 195,588/x
  3. Step 3: Cross multiply
    329,749.92x = 455,013.52 × 195,588
  4. Step 4: Simplify right side
    329,749.92x = 88,995,184,349.76
  5. Step 5: Solve for x
    x = 88,995,184,349.76/329,749.92
  6. Step 6: Final answer
    x = 269,886.90

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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.