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Finding the Fourth Proportional to 252,098.50, 378,147.74 and 172,972.84

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Solution

The fourth proportional to 252,098.50, 378,147.74 and 172,972.84 is: 259,459.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,098.50 : 378,147.74 = 172,972.84 : x
  2. Step 2: Convert to fraction form
    252,098.50/378,147.74 = 172,972.84/x
  3. Step 3: Cross multiply
    252,098.50x = 378,147.74 × 172,972.84
  4. Step 4: Simplify right side
    252,098.50x = 65,409,288,527.38
  5. Step 5: Solve for x
    x = 65,409,288,527.38/252,098.50
  6. Step 6: Final answer
    x = 259,459.25

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1.5x scale

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.