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Finding the Fourth Proportional to 298,129.19, 411,380.86 and 201,543.15

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Solution

The fourth proportional to 298,129.19, 411,380.86 and 201,543.15 is: 278,104.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,129.19 : 411,380.86 = 201,543.15 : x
  2. Step 2: Convert to fraction form
    298,129.19/411,380.86 = 201,543.15/x
  3. Step 3: Cross multiply
    298,129.19x = 411,380.86 × 201,543.15
  4. Step 4: Simplify right side
    298,129.19x = 82,910,994,374.11
  5. Step 5: Solve for x
    x = 82,910,994,374.11/298,129.19
  6. Step 6: Final answer
    x = 278,104.25

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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.