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Finding the Fourth Proportional to 512,019.63, 767,791.86 and 298,848.90

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Solution

The fourth proportional to 512,019.63, 767,791.86 and 298,848.90 is: 448,134.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,019.63 : 767,791.86 = 298,848.90 : x
  2. Step 2: Convert to fraction form
    512,019.63/767,791.86 = 298,848.90/x
  3. Step 3: Cross multiply
    512,019.63x = 767,791.86 × 298,848.90
  4. Step 4: Simplify right side
    512,019.63x = 229,453,752,789.95
  5. Step 5: Solve for x
    x = 229,453,752,789.95/512,019.63
  6. Step 6: Final answer
    x = 448,134.68

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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.