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Finding the Fourth Proportional to 315,186, 434,956.68 and 202,008.75

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Solution

The fourth proportional to 315,186, 434,956.68 and 202,008.75 is: 278,772.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,186 : 434,956.68 = 202,008.75 : x
  2. Step 2: Convert to fraction form
    315,186/434,956.68 = 202,008.75/x
  3. Step 3: Cross multiply
    315,186x = 434,956.68 × 202,008.75
  4. Step 4: Simplify right side
    315,186x = 87,865,055,230.95
  5. Step 5: Solve for x
    x = 87,865,055,230.95/315,186
  6. Step 6: Final answer
    x = 278,772.08

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