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Finding the Fourth Proportional to 290,687.24, 401,344.10 and 259,964.88

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Solution

The fourth proportional to 290,687.24, 401,344.10 and 259,964.88 is: 358,926.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,687.24 : 401,344.10 = 259,964.88 : x
  2. Step 2: Convert to fraction form
    290,687.24/401,344.10 = 259,964.88/x
  3. Step 3: Cross multiply
    290,687.24x = 401,344.10 × 259,964.88
  4. Step 4: Simplify right side
    290,687.24x = 104,335,369,495.38
  5. Step 5: Solve for x
    x = 104,335,369,495.38/290,687.24
  6. Step 6: Final answer
    x = 358,926.56

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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.