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Finding the Fourth Proportional to 393,765.52, 543,398.08 and 221,686.42

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Solution

The fourth proportional to 393,765.52, 543,398.08 and 221,686.42 is: 305,928.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,765.52 : 543,398.08 = 221,686.42 : x
  2. Step 2: Convert to fraction form
    393,765.52/543,398.08 = 221,686.42/x
  3. Step 3: Cross multiply
    393,765.52x = 543,398.08 × 221,686.42
  4. Step 4: Simplify right side
    393,765.52x = 120,463,974,990.07
  5. Step 5: Solve for x
    x = 120,463,974,990.07/393,765.52
  6. Step 6: Final answer
    x = 305,928.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.