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Finding the Fourth Proportional to 349,378.38, 524,067.62 and 278,927.82

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Solution

The fourth proportional to 349,378.38, 524,067.62 and 278,927.82 is: 418,391.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,378.38 : 524,067.62 = 278,927.82 : x
  2. Step 2: Convert to fraction form
    349,378.38/524,067.62 = 278,927.82/x
  3. Step 3: Cross multiply
    349,378.38x = 524,067.62 × 278,927.82
  4. Step 4: Simplify right side
    349,378.38x = 146,177,037,384.55
  5. Step 5: Solve for x
    x = 146,177,037,384.55/349,378.38
  6. Step 6: Final answer
    x = 418,391.77

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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.