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Finding the Fourth Proportional to 345,743, 477,125.34 and 186,767

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Solution

The fourth proportional to 345,743, 477,125.34 and 186,767 is: 257,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,743 : 477,125.34 = 186,767 : x
  2. Step 2: Convert to fraction form
    345,743/477,125.34 = 186,767/x
  3. Step 3: Cross multiply
    345,743x = 477,125.34 × 186,767
  4. Step 4: Simplify right side
    345,743x = 89,111,268,375.78
  5. Step 5: Solve for x
    x = 89,111,268,375.78/345,743
  6. Step 6: Final answer
    x = 257,738.46

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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.