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Finding the Fourth Proportional to 279,754.73, 419,756.11 and 146,603.33

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Solution

The fourth proportional to 279,754.73, 419,756.11 and 146,603.33 is: 219,969.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,754.73 : 419,756.11 = 146,603.33 : x
  2. Step 2: Convert to fraction form
    279,754.73/419,756.11 = 146,603.33/x
  3. Step 3: Cross multiply
    279,754.73x = 419,756.11 × 146,603.33
  4. Step 4: Simplify right side
    279,754.73x = 61,537,643,513.85
  5. Step 5: Solve for x
    x = 61,537,643,513.85/279,754.73
  6. Step 6: Final answer
    x = 219,969.98

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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.