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Finding the Fourth Proportional to 290,296.12, 400,594.95 and 161,242.90

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Solution

The fourth proportional to 290,296.12, 400,594.95 and 161,242.90 is: 222,507.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,296.12 : 400,594.95 = 161,242.90 : x
  2. Step 2: Convert to fraction form
    290,296.12/400,594.95 = 161,242.90/x
  3. Step 3: Cross multiply
    290,296.12x = 400,594.95 × 161,242.90
  4. Step 4: Simplify right side
    290,296.12x = 64,593,090,860.44
  5. Step 5: Solve for x
    x = 64,593,090,860.44/290,296.12
  6. Step 6: Final answer
    x = 222,507.60

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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.