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Finding the Fourth Proportional to 277,206.66, 415,766.79 and 90,216.90

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Solution

The fourth proportional to 277,206.66, 415,766.79 and 90,216.90 is: 135,311.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,206.66 : 415,766.79 = 90,216.90 : x
  2. Step 2: Convert to fraction form
    277,206.66/415,766.79 = 90,216.90/x
  3. Step 3: Cross multiply
    277,206.66x = 415,766.79 × 90,216.90
  4. Step 4: Simplify right side
    277,206.66x = 37,509,190,916.75
  5. Step 5: Solve for x
    x = 37,509,190,916.75/277,206.66
  6. Step 6: Final answer
    x = 135,311.29

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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.