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Finding the Fourth Proportional to 290,394.76, 400,571 and 182,777.96

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Solution

The fourth proportional to 290,394.76, 400,571 and 182,777.96 is: 252,124.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,394.76 : 400,571 = 182,777.96 : x
  2. Step 2: Convert to fraction form
    290,394.76/400,571 = 182,777.96/x
  3. Step 3: Cross multiply
    290,394.76x = 400,571 × 182,777.96
  4. Step 4: Simplify right side
    290,394.76x = 73,215,550,215.16
  5. Step 5: Solve for x
    x = 73,215,550,215.16/290,394.76
  6. Step 6: Final answer
    x = 252,124.21

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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.