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Finding the Fourth Proportional to 290,805.64, 401,281.18 and 161,723.20

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Solution

The fourth proportional to 290,805.64, 401,281.18 and 161,723.20 is: 223,161.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,805.64 : 401,281.18 = 161,723.20 : x
  2. Step 2: Convert to fraction form
    290,805.64/401,281.18 = 161,723.20/x
  3. Step 3: Cross multiply
    290,805.64x = 401,281.18 × 161,723.20
  4. Step 4: Simplify right side
    290,805.64x = 64,896,476,529.38
  5. Step 5: Solve for x
    x = 64,896,476,529.38/290,805.64
  6. Step 6: Final answer
    x = 223,161.00

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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.