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Finding the Fourth Proportional to 278,583.30, 418,040.95 and 101,104.14

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Solution

The fourth proportional to 278,583.30, 418,040.95 and 101,104.14 is: 151,716.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,583.30 : 418,040.95 = 101,104.14 : x
  2. Step 2: Convert to fraction form
    278,583.30/418,040.95 = 101,104.14/x
  3. Step 3: Cross multiply
    278,583.30x = 418,040.95 × 101,104.14
  4. Step 4: Simplify right side
    278,583.30x = 42,265,670,734.53
  5. Step 5: Solve for x
    x = 42,265,670,734.53/278,583.30
  6. Step 6: Final answer
    x = 151,716.46

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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.