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Finding the Fourth Proportional to 319,204.80, 478,418.40 and 141,523.20

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Solution

The fourth proportional to 319,204.80, 478,418.40 and 141,523.20 is: 212,112.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,204.80 : 478,418.40 = 141,523.20 : x
  2. Step 2: Convert to fraction form
    319,204.80/478,418.40 = 141,523.20/x
  3. Step 3: Cross multiply
    319,204.80x = 478,418.40 × 141,523.20
  4. Step 4: Simplify right side
    319,204.80x = 67,707,302,906.88
  5. Step 5: Solve for x
    x = 67,707,302,906.88/319,204.80
  6. Step 6: Final answer
    x = 212,112.42

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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.