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Finding the Fourth Proportional to 251,019.81, 376,542.87 and 191,142.20

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Solution

The fourth proportional to 251,019.81, 376,542.87 and 191,142.20 is: 286,723.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,019.81 : 376,542.87 = 191,142.20 : x
  2. Step 2: Convert to fraction form
    251,019.81/376,542.87 = 191,142.20/x
  3. Step 3: Cross multiply
    251,019.81x = 376,542.87 × 191,142.20
  4. Step 4: Simplify right side
    251,019.81x = 71,973,233,507.47
  5. Step 5: Solve for x
    x = 71,973,233,507.47/251,019.81
  6. Step 6: Final answer
    x = 286,723.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.