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Finding the Fourth Proportional to 521,604.97, 782,399.05 and 166,616.65

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Solution

The fourth proportional to 521,604.97, 782,399.05 and 166,616.65 is: 249,922.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,604.97 : 782,399.05 = 166,616.65 : x
  2. Step 2: Convert to fraction form
    521,604.97/782,399.05 = 166,616.65/x
  3. Step 3: Cross multiply
    521,604.97x = 782,399.05 × 166,616.65
  4. Step 4: Simplify right side
    521,604.97x = 130,360,708,674.18
  5. Step 5: Solve for x
    x = 130,360,708,674.18/521,604.97
  6. Step 6: Final answer
    x = 249,922.29

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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.