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Finding the Fourth Proportional to 307,872.78, 424,935.27 and 180,589.38

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Solution

The fourth proportional to 307,872.78, 424,935.27 and 180,589.38 is: 249,254.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,872.78 : 424,935.27 = 180,589.38 : x
  2. Step 2: Convert to fraction form
    307,872.78/424,935.27 = 180,589.38/x
  3. Step 3: Cross multiply
    307,872.78x = 424,935.27 × 180,589.38
  4. Step 4: Simplify right side
    307,872.78x = 76,738,796,949.43
  5. Step 5: Solve for x
    x = 76,738,796,949.43/307,872.78
  6. Step 6: Final answer
    x = 249,254.89

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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.