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Finding the Fourth Proportional to 399,076.45, 598,718.35 and 199,388.77

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Solution

The fourth proportional to 399,076.45, 598,718.35 and 199,388.77 is: 299,134.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,076.45 : 598,718.35 = 199,388.77 : x
  2. Step 2: Convert to fraction form
    399,076.45/598,718.35 = 199,388.77/x
  3. Step 3: Cross multiply
    399,076.45x = 598,718.35 × 199,388.77
  4. Step 4: Simplify right side
    399,076.45x = 119,377,715,382.93
  5. Step 5: Solve for x
    x = 119,377,715,382.93/399,076.45
  6. Step 6: Final answer
    x = 299,134.95

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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.