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Finding the Fourth Proportional to 319,275.90, 479,100.24 and 177,240.78

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Solution

The fourth proportional to 319,275.90, 479,100.24 and 177,240.78 is: 265,964.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,275.90 : 479,100.24 = 177,240.78 : x
  2. Step 2: Convert to fraction form
    319,275.90/479,100.24 = 177,240.78/x
  3. Step 3: Cross multiply
    319,275.90x = 479,100.24 × 177,240.78
  4. Step 4: Simplify right side
    319,275.90x = 84,916,100,235.79
  5. Step 5: Solve for x
    x = 84,916,100,235.79/319,275.90
  6. Step 6: Final answer
    x = 265,964.64

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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.