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Finding the Fourth Proportional to 550,825.62, 825,574.05 and 284,440.92

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Solution

The fourth proportional to 550,825.62, 825,574.05 and 284,440.92 is: 426,318.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,825.62 : 825,574.05 = 284,440.92 : x
  2. Step 2: Convert to fraction form
    550,825.62/825,574.05 = 284,440.92/x
  3. Step 3: Cross multiply
    550,825.62x = 825,574.05 × 284,440.92
  4. Step 4: Simplify right side
    550,825.62x = 234,827,042,310.13
  5. Step 5: Solve for x
    x = 234,827,042,310.13/550,825.62
  6. Step 6: Final answer
    x = 426,318.30

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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.