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Finding the Fourth Proportional to 643,794.57, 965,712.12 and 306,871.83

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Solution

The fourth proportional to 643,794.57, 965,712.12 and 306,871.83 is: 460,317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,794.57 : 965,712.12 = 306,871.83 : x
  2. Step 2: Convert to fraction form
    643,794.57/965,712.12 = 306,871.83/x
  3. Step 3: Cross multiply
    643,794.57x = 965,712.12 × 306,871.83
  4. Step 4: Simplify right side
    643,794.57x = 296,349,845,517.58
  5. Step 5: Solve for x
    x = 296,349,845,517.58/643,794.57
  6. Step 6: Final answer
    x = 460,317.40

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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.