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Finding the Fourth Proportional to 278,030.85, 416,796.57 and 135,795.66

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Solution

The fourth proportional to 278,030.85, 416,796.57 and 135,795.66 is: 203,571.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,030.85 : 416,796.57 = 135,795.66 : x
  2. Step 2: Convert to fraction form
    278,030.85/416,796.57 = 135,795.66/x
  3. Step 3: Cross multiply
    278,030.85x = 416,796.57 × 135,795.66
  4. Step 4: Simplify right side
    278,030.85x = 56,599,165,308.89
  5. Step 5: Solve for x
    x = 56,599,165,308.89/278,030.85
  6. Step 6: Final answer
    x = 203,571.53

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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.