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Finding the Fourth Proportional to 512,020.63, 767,793.36 and 298,849.90

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Solution

The fourth proportional to 512,020.63, 767,793.36 and 298,849.90 is: 448,136.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,020.63 : 767,793.36 = 298,849.90 : x
  2. Step 2: Convert to fraction form
    512,020.63/767,793.36 = 298,849.90/x
  3. Step 3: Cross multiply
    512,020.63x = 767,793.36 × 298,849.90
  4. Step 4: Simplify right side
    512,020.63x = 229,454,968,856.66
  5. Step 5: Solve for x
    x = 229,454,968,856.66/512,020.63
  6. Step 6: Final answer
    x = 448,136.18

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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.