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Finding the Fourth Proportional to 301,474.80, 415,891.44 and 180,558

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Solution

The fourth proportional to 301,474.80, 415,891.44 and 180,558 is: 249,083.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,474.80 : 415,891.44 = 180,558 : x
  2. Step 2: Convert to fraction form
    301,474.80/415,891.44 = 180,558/x
  3. Step 3: Cross multiply
    301,474.80x = 415,891.44 × 180,558
  4. Step 4: Simplify right side
    301,474.80x = 75,092,526,623.52
  5. Step 5: Solve for x
    x = 75,092,526,623.52/301,474.80
  6. Step 6: Final answer
    x = 249,083.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.