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Finding the Fourth Proportional to 476,409.87, 657,446.76 and 261,563.78

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Solution

The fourth proportional to 476,409.87, 657,446.76 and 261,563.78 is: 360,958.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,409.87 : 657,446.76 = 261,563.78 : x
  2. Step 2: Convert to fraction form
    476,409.87/657,446.76 = 261,563.78/x
  3. Step 3: Cross multiply
    476,409.87x = 657,446.76 × 261,563.78
  4. Step 4: Simplify right side
    476,409.87x = 171,964,261,337.97
  5. Step 5: Solve for x
    x = 171,964,261,337.97/476,409.87
  6. Step 6: Final answer
    x = 360,958.65

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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.