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Finding the Fourth Proportional to 352,853.44, 486,959.52 and 201,947.20

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Solution

The fourth proportional to 352,853.44, 486,959.52 and 201,947.20 is: 278,699.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,853.44 : 486,959.52 = 201,947.20 : x
  2. Step 2: Convert to fraction form
    352,853.44/486,959.52 = 201,947.20/x
  3. Step 3: Cross multiply
    352,853.44x = 486,959.52 × 201,947.20
  4. Step 4: Simplify right side
    352,853.44x = 98,340,111,577.34
  5. Step 5: Solve for x
    x = 98,340,111,577.34/352,853.44
  6. Step 6: Final answer
    x = 278,699.60

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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.