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Finding the Fourth Proportional to 319,053.74, 478,579.25 and 129,512.49

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Solution

The fourth proportional to 319,053.74, 478,579.25 and 129,512.49 is: 194,268.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,053.74 : 478,579.25 = 129,512.49 : x
  2. Step 2: Convert to fraction form
    319,053.74/478,579.25 = 129,512.49/x
  3. Step 3: Cross multiply
    319,053.74x = 478,579.25 × 129,512.49
  4. Step 4: Simplify right side
    319,053.74x = 61,981,988,858.94
  5. Step 5: Solve for x
    x = 61,981,988,858.94/319,053.74
  6. Step 6: Final answer
    x = 194,268.18

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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.