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Finding the Fourth Proportional to 290,040.97, 400,250.50 and 160,971.96

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Solution

The fourth proportional to 290,040.97, 400,250.50 and 160,971.96 is: 222,137.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,040.97 : 400,250.50 = 160,971.96 : x
  2. Step 2: Convert to fraction form
    290,040.97/400,250.50 = 160,971.96/x
  3. Step 3: Cross multiply
    290,040.97x = 400,250.50 × 160,971.96
  4. Step 4: Simplify right side
    290,040.97x = 64,429,107,475.98
  5. Step 5: Solve for x
    x = 64,429,107,475.98/290,040.97
  6. Step 6: Final answer
    x = 222,137.95

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1.5x scale

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.