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Finding the Fourth Proportional to 279,835.66, 419,813.25 and 90,306.82

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Solution

The fourth proportional to 279,835.66, 419,813.25 and 90,306.82 is: 135,479.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,835.66 : 419,813.25 = 90,306.82 : x
  2. Step 2: Convert to fraction form
    279,835.66/419,813.25 = 90,306.82/x
  3. Step 3: Cross multiply
    279,835.66x = 419,813.25 × 90,306.82
  4. Step 4: Simplify right side
    279,835.66x = 37,911,999,601.37
  5. Step 5: Solve for x
    x = 37,911,999,601.37/279,835.66
  6. Step 6: Final answer
    x = 135,479.52

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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.