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Finding the Fourth Proportional to 319,724.80, 477,108.80 and 264,428.80

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Solution

The fourth proportional to 319,724.80, 477,108.80 and 264,428.80 is: 394,593.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,724.80 : 477,108.80 = 264,428.80 : x
  2. Step 2: Convert to fraction form
    319,724.80/477,108.80 = 264,428.80/x
  3. Step 3: Cross multiply
    319,724.80x = 477,108.80 × 264,428.80
  4. Step 4: Simplify right side
    319,724.80x = 126,161,307,453.44
  5. Step 5: Solve for x
    x = 126,161,307,453.44/319,724.80
  6. Step 6: Final answer
    x = 394,593.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.