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Finding the Fourth Proportional to 643,178.56, 964,805.64 and 216,679

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Solution

The fourth proportional to 643,178.56, 964,805.64 and 216,679 is: 325,031.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,178.56 : 964,805.64 = 216,679 : x
  2. Step 2: Convert to fraction form
    643,178.56/964,805.64 = 216,679/x
  3. Step 3: Cross multiply
    643,178.56x = 964,805.64 × 216,679
  4. Step 4: Simplify right side
    643,178.56x = 209,053,121,269.56
  5. Step 5: Solve for x
    x = 209,053,121,269.56/643,178.56
  6. Step 6: Final answer
    x = 325,031.23

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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.