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Finding the Fourth Proportional to 290,959.96, 401,296.77 and 199,133.56

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Solution

The fourth proportional to 290,959.96, 401,296.77 and 199,133.56 is: 274,648.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,959.96 : 401,296.77 = 199,133.56 : x
  2. Step 2: Convert to fraction form
    290,959.96/401,296.77 = 199,133.56/x
  3. Step 3: Cross multiply
    290,959.96x = 401,296.77 × 199,133.56
  4. Step 4: Simplify right side
    290,959.96x = 79,911,654,426.60
  5. Step 5: Solve for x
    x = 79,911,654,426.60/290,959.96
  6. Step 6: Final answer
    x = 274,648.29

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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.