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Finding the Fourth Proportional to 290,947.52, 401,512.80 and 170,098.88

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Solution

The fourth proportional to 290,947.52, 401,512.80 and 170,098.88 is: 234,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,947.52 : 401,512.80 = 170,098.88 : x
  2. Step 2: Convert to fraction form
    290,947.52/401,512.80 = 170,098.88/x
  3. Step 3: Cross multiply
    290,947.52x = 401,512.80 × 170,098.88
  4. Step 4: Simplify right side
    290,947.52x = 68,296,877,585.66
  5. Step 5: Solve for x
    x = 68,296,877,585.66/290,947.52
  6. Step 6: Final answer
    x = 234,739.51

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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.