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Finding the Fourth Proportional to 643,949.52, 965,530.43 and 307,093.20

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Solution

The fourth proportional to 643,949.52, 965,530.43 and 307,093.20 is: 460,451.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,949.52 : 965,530.43 = 307,093.20 : x
  2. Step 2: Convert to fraction form
    643,949.52/965,530.43 = 307,093.20/x
  3. Step 3: Cross multiply
    643,949.52x = 965,530.43 × 307,093.20
  4. Step 4: Simplify right side
    643,949.52x = 296,507,829,446.08
  5. Step 5: Solve for x
    x = 296,507,829,446.08/643,949.52
  6. Step 6: Final answer
    x = 460,451.98

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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.