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Finding the Fourth Proportional to 643,902.96, 965,460.78 and 307,046.64

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Solution

The fourth proportional to 643,902.96, 965,460.78 and 307,046.64 is: 460,382.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,902.96 : 965,460.78 = 307,046.64 : x
  2. Step 2: Convert to fraction form
    643,902.96/965,460.78 = 307,046.64/x
  3. Step 3: Cross multiply
    643,902.96x = 965,460.78 × 307,046.64
  4. Step 4: Simplify right side
    643,902.96x = 296,441,488,550.78
  5. Step 5: Solve for x
    x = 296,441,488,550.78/643,902.96
  6. Step 6: Final answer
    x = 460,382.24

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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.