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Finding the Fourth Proportional to 319,008.38, 478,514.39 and 82,334.88

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Solution

The fourth proportional to 319,008.38, 478,514.39 and 82,334.88 is: 123,502.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,008.38 : 478,514.39 = 82,334.88 : x
  2. Step 2: Convert to fraction form
    319,008.38/478,514.39 = 82,334.88/x
  3. Step 3: Cross multiply
    319,008.38x = 478,514.39 × 82,334.88
  4. Step 4: Simplify right side
    319,008.38x = 39,398,424,467.25
  5. Step 5: Solve for x
    x = 39,398,424,467.25/319,008.38
  6. Step 6: Final answer
    x = 123,502.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.