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Finding the Fourth Proportional to 644,488.94, 965,260.76 and 307,765.46

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Solution

The fourth proportional to 644,488.94, 965,260.76 and 307,765.46 is: 460,944.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,488.94 : 965,260.76 = 307,765.46 : x
  2. Step 2: Convert to fraction form
    644,488.94/965,260.76 = 307,765.46/x
  3. Step 3: Cross multiply
    644,488.94x = 965,260.76 × 307,765.46
  4. Step 4: Simplify right side
    644,488.94x = 297,073,921,821.35
  5. Step 5: Solve for x
    x = 297,073,921,821.35/644,488.94
  6. Step 6: Final answer
    x = 460,944.95

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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.