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Finding the Fourth Proportional to 319,276.90, 479,101.74 and 177,241.78

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Solution

The fourth proportional to 319,276.90, 479,101.74 and 177,241.78 is: 265,966.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,276.90 : 479,101.74 = 177,241.78 : x
  2. Step 2: Convert to fraction form
    319,276.90/479,101.74 = 177,241.78/x
  3. Step 3: Cross multiply
    319,276.90x = 479,101.74 × 177,241.78
  4. Step 4: Simplify right side
    319,276.90x = 84,916,845,198.70
  5. Step 5: Solve for x
    x = 84,916,845,198.70/319,276.90
  6. Step 6: Final answer
    x = 265,966.14

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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.