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Finding the Fourth Proportional to 463,285.80, 694,928.70 and 285,215.40

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Solution

The fourth proportional to 463,285.80, 694,928.70 and 285,215.40 is: 427,823.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,285.80 : 694,928.70 = 285,215.40 : x
  2. Step 2: Convert to fraction form
    463,285.80/694,928.70 = 285,215.40/x
  3. Step 3: Cross multiply
    463,285.80x = 694,928.70 × 285,215.40
  4. Step 4: Simplify right side
    463,285.80x = 198,204,367,141.98
  5. Step 5: Solve for x
    x = 198,204,367,141.98/463,285.80
  6. Step 6: Final answer
    x = 427,823.10

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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.