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Finding the Fourth Proportional to 411,040.40, 615,977.40 and 303,585.80

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Solution

The fourth proportional to 411,040.40, 615,977.40 and 303,585.80 is: 454,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,040.40 : 615,977.40 = 303,585.80 : x
  2. Step 2: Convert to fraction form
    411,040.40/615,977.40 = 303,585.80/x
  3. Step 3: Cross multiply
    411,040.40x = 615,977.40 × 303,585.80
  4. Step 4: Simplify right side
    411,040.40x = 187,001,991,760.92
  5. Step 5: Solve for x
    x = 187,001,991,760.92/411,040.40
  6. Step 6: Final answer
    x = 454,947.96

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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.