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Finding the Fourth Proportional to 428,981.80, 643,278.30 and 162,653.80

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Solution

The fourth proportional to 428,981.80, 643,278.30 and 162,653.80 is: 243,906.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,981.80 : 643,278.30 = 162,653.80 : x
  2. Step 2: Convert to fraction form
    428,981.80/643,278.30 = 162,653.80/x
  3. Step 3: Cross multiply
    428,981.80x = 643,278.30 × 162,653.80
  4. Step 4: Simplify right side
    428,981.80x = 104,631,659,952.54
  5. Step 5: Solve for x
    x = 104,631,659,952.54/428,981.80
  6. Step 6: Final answer
    x = 243,906.99

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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.