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Finding the Fourth Proportional to 643,356.60, 964,862.10 and 269,302.20

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Solution

The fourth proportional to 643,356.60, 964,862.10 and 269,302.20 is: 403,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,356.60 : 964,862.10 = 269,302.20 : x
  2. Step 2: Convert to fraction form
    643,356.60/964,862.10 = 269,302.20/x
  3. Step 3: Cross multiply
    643,356.60x = 964,862.10 × 269,302.20
  4. Step 4: Simplify right side
    643,356.60x = 259,839,486,226.62
  5. Step 5: Solve for x
    x = 259,839,486,226.62/643,356.60
  6. Step 6: Final answer
    x = 403,880.97

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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.