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Finding the Fourth Proportional to 643,353.80, 964,046.54 and 343,876.94

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Solution

The fourth proportional to 643,353.80, 964,046.54 and 343,876.94 is: 515,289.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,353.80 : 964,046.54 = 343,876.94 : x
  2. Step 2: Convert to fraction form
    643,353.80/964,046.54 = 343,876.94/x
  3. Step 3: Cross multiply
    643,353.80x = 964,046.54 × 343,876.94
  4. Step 4: Simplify right side
    643,353.80x = 331,513,374,192.79
  5. Step 5: Solve for x
    x = 331,513,374,192.79/643,353.80
  6. Step 6: Final answer
    x = 515,289.37

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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.