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Finding the Fourth Proportional to 274,344,978.24, 378,910,282.32 and 180,677,837.52

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Solution

The fourth proportional to 274,344,978.24, 378,910,282.32 and 180,677,837.52 is: 249,542,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,344,978.24 : 378,910,282.32 = 180,677,837.52 : x
  2. Step 2: Convert to fraction form
    274,344,978.24/378,910,282.32 = 180,677,837.52/x
  3. Step 3: Cross multiply
    274,344,978.24x = 378,910,282.32 × 180,677,837.52
  4. Step 4: Simplify right side
    274,344,978.24x = 68,460,690,423,670,288
  5. Step 5: Solve for x
    x = 68,460,690,423,670,288/274,344,978.24
  6. Step 6: Final answer
    x = 249,542,349.43

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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.