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Finding the Fourth Proportional to 644,078.70, 965,042.90 and 283,712.66

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Solution

The fourth proportional to 644,078.70, 965,042.90 and 283,712.66 is: 425,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,078.70 : 965,042.90 = 283,712.66 : x
  2. Step 2: Convert to fraction form
    644,078.70/965,042.90 = 283,712.66/x
  3. Step 3: Cross multiply
    644,078.70x = 965,042.90 × 283,712.66
  4. Step 4: Simplify right side
    644,078.70x = 273,794,888,173.11
  5. Step 5: Solve for x
    x = 273,794,888,173.11/644,078.70
  6. Step 6: Final answer
    x = 425,095.39

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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.