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Finding the Fourth Proportional to 550,427.28, 825,723 and 195,411.57

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Solution

The fourth proportional to 550,427.28, 825,723 and 195,411.57 is: 293,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,427.28 : 825,723 = 195,411.57 : x
  2. Step 2: Convert to fraction form
    550,427.28/825,723 = 195,411.57/x
  3. Step 3: Cross multiply
    550,427.28x = 825,723 × 195,411.57
  4. Step 4: Simplify right side
    550,427.28x = 161,355,827,815.11
  5. Step 5: Solve for x
    x = 161,355,827,815.11/550,427.28
  6. Step 6: Final answer
    x = 293,146.49

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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.