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Finding the Fourth Proportional to 319,207.20, 478,810.80 and 279,808.80

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Solution

The fourth proportional to 319,207.20, 478,810.80 and 279,808.80 is: 419,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,207.20 : 478,810.80 = 279,808.80 : x
  2. Step 2: Convert to fraction form
    319,207.20/478,810.80 = 279,808.80/x
  3. Step 3: Cross multiply
    319,207.20x = 478,810.80 × 279,808.80
  4. Step 4: Simplify right side
    319,207.20x = 133,975,475,375.04
  5. Step 5: Solve for x
    x = 133,975,475,375.04/319,207.20
  6. Step 6: Final answer
    x = 419,713.20

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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.