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Finding the Fourth Proportional to 290,876, 401,523.20 and 183,424.64

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Solution

The fourth proportional to 290,876, 401,523.20 and 183,424.64 is: 253,198.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,876 : 401,523.20 = 183,424.64 : x
  2. Step 2: Convert to fraction form
    290,876/401,523.20 = 183,424.64/x
  3. Step 3: Cross multiply
    290,876x = 401,523.20 × 183,424.64
  4. Step 4: Simplify right side
    290,876x = 73,649,248,411.65
  5. Step 5: Solve for x
    x = 73,649,248,411.65/290,876
  6. Step 6: Final answer
    x = 253,198.09

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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.