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Finding the Fourth Proportional to 319,468.80, 478,796.18 and 169,780.80

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Solution

The fourth proportional to 319,468.80, 478,796.18 and 169,780.80 is: 254,454.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,468.80 : 478,796.18 = 169,780.80 : x
  2. Step 2: Convert to fraction form
    319,468.80/478,796.18 = 169,780.80/x
  3. Step 3: Cross multiply
    319,468.80x = 478,796.18 × 169,780.80
  4. Step 4: Simplify right side
    319,468.80x = 81,290,397,628.44
  5. Step 5: Solve for x
    x = 81,290,397,628.44/319,468.80
  6. Step 6: Final answer
    x = 254,454.89

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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.