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Finding the Fourth Proportional to 203,919.30, 305,878.95 and 195,280.65

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Solution

The fourth proportional to 203,919.30, 305,878.95 and 195,280.65 is: 292,920.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,919.30 : 305,878.95 = 195,280.65 : x
  2. Step 2: Convert to fraction form
    203,919.30/305,878.95 = 195,280.65/x
  3. Step 3: Cross multiply
    203,919.30x = 305,878.95 × 195,280.65
  4. Step 4: Simplify right side
    203,919.30x = 59,732,240,177.32
  5. Step 5: Solve for x
    x = 59,732,240,177.32/203,919.30
  6. Step 6: Final answer
    x = 292,920.98

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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.