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Finding the Fourth Proportional to 502,751.91, 694,021.29 and 298,868.84

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Solution

The fourth proportional to 502,751.91, 694,021.29 and 298,868.84 is: 412,571.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,751.91 : 694,021.29 = 298,868.84 : x
  2. Step 2: Convert to fraction form
    502,751.91/694,021.29 = 298,868.84/x
  3. Step 3: Cross multiply
    502,751.91x = 694,021.29 × 298,868.84
  4. Step 4: Simplify right side
    502,751.91x = 207,421,336,729.89
  5. Step 5: Solve for x
    x = 207,421,336,729.89/502,751.91
  6. Step 6: Final answer
    x = 412,571.95

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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.