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Finding the Fourth Proportional to 550,639.20, 825,764.40 and 195,664.80

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Solution

The fourth proportional to 550,639.20, 825,764.40 and 195,664.80 is: 293,428.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,639.20 : 825,764.40 = 195,664.80 : x
  2. Step 2: Convert to fraction form
    550,639.20/825,764.40 = 195,664.80/x
  3. Step 3: Cross multiply
    550,639.20x = 825,764.40 × 195,664.80
  4. Step 4: Simplify right side
    550,639.20x = 161,573,026,173.12
  5. Step 5: Solve for x
    x = 161,573,026,173.12/550,639.20
  6. Step 6: Final answer
    x = 293,428.12

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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.