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Finding the Fourth Proportional to 345,906, 477,350.92 and 186,930

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Solution

The fourth proportional to 345,906, 477,350.92 and 186,930 is: 257,963.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,906 : 477,350.92 = 186,930 : x
  2. Step 2: Convert to fraction form
    345,906/477,350.92 = 186,930/x
  3. Step 3: Cross multiply
    345,906x = 477,350.92 × 186,930
  4. Step 4: Simplify right side
    345,906x = 89,231,207,475.60
  5. Step 5: Solve for x
    x = 89,231,207,475.60/345,906
  6. Step 6: Final answer
    x = 257,963.75

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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.