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Finding the Fourth Proportional to 289,298.28, 399,145.27 and 187,161.96

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Solution

The fourth proportional to 289,298.28, 399,145.27 and 187,161.96 is: 258,227.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,298.28 : 399,145.27 = 187,161.96 : x
  2. Step 2: Convert to fraction form
    289,298.28/399,145.27 = 187,161.96/x
  3. Step 3: Cross multiply
    289,298.28x = 399,145.27 × 187,161.96
  4. Step 4: Simplify right side
    289,298.28x = 74,704,810,192.56
  5. Step 5: Solve for x
    x = 74,704,810,192.56/289,298.28
  6. Step 6: Final answer
    x = 258,227.63

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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.