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Finding the Fourth Proportional to 662,856, 914,741.28 and 361,050

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Solution

The fourth proportional to 662,856, 914,741.28 and 361,050 is: 498,249

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,856 : 914,741.28 = 361,050 : x
  2. Step 2: Convert to fraction form
    662,856/914,741.28 = 361,050/x
  3. Step 3: Cross multiply
    662,856x = 914,741.28 × 361,050
  4. Step 4: Simplify right side
    662,856x = 330,267,339,144
  5. Step 5: Solve for x
    x = 330,267,339,144/662,856
  6. Step 6: Final answer
    x = 498,249

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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.