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Finding the Fourth Proportional to 315,839.71, 435,808.62 and 179,876.31

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Solution

The fourth proportional to 315,839.71, 435,808.62 and 179,876.31 is: 248,200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,839.71 : 435,808.62 = 179,876.31 : x
  2. Step 2: Convert to fraction form
    315,839.71/435,808.62 = 179,876.31/x
  3. Step 3: Cross multiply
    315,839.71x = 435,808.62 × 179,876.31
  4. Step 4: Simplify right side
    315,839.71x = 78,391,644,651.51
  5. Step 5: Solve for x
    x = 78,391,644,651.51/315,839.71
  6. Step 6: Final answer
    x = 248,200.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.