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Finding the Fourth Proportional to 365,726.72, 503,581.38 and 320,149.64

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Solution

The fourth proportional to 365,726.72, 503,581.38 and 320,149.64 is: 440,824.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,726.72 : 503,581.38 = 320,149.64 : x
  2. Step 2: Convert to fraction form
    365,726.72/503,581.38 = 320,149.64/x
  3. Step 3: Cross multiply
    365,726.72x = 503,581.38 × 320,149.64
  4. Step 4: Simplify right side
    365,726.72x = 161,221,397,517.70
  5. Step 5: Solve for x
    x = 161,221,397,517.70/365,726.72
  6. Step 6: Final answer
    x = 440,824.77

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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.