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Finding the Fourth Proportional to 654,108.28, 902,648.37 and 363,718.42

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Solution

The fourth proportional to 654,108.28, 902,648.37 and 363,718.42 is: 501,919.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,108.28 : 902,648.37 = 363,718.42 : x
  2. Step 2: Convert to fraction form
    654,108.28/902,648.37 = 363,718.42/x
  3. Step 3: Cross multiply
    654,108.28x = 902,648.37 × 363,718.42
  4. Step 4: Simplify right side
    654,108.28x = 328,309,838,951.98
  5. Step 5: Solve for x
    x = 328,309,838,951.98/654,108.28
  6. Step 6: Final answer
    x = 501,919.71

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Double scale
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1.5x scale

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.