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Finding the Fourth Proportional to 347,816.40, 521,724.60 and 326,821.20

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Solution

The fourth proportional to 347,816.40, 521,724.60 and 326,821.20 is: 490,231.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,816.40 : 521,724.60 = 326,821.20 : x
  2. Step 2: Convert to fraction form
    347,816.40/521,724.60 = 326,821.20/x
  3. Step 3: Cross multiply
    347,816.40x = 521,724.60 × 326,821.20
  4. Step 4: Simplify right side
    347,816.40x = 170,510,659,841.52
  5. Step 5: Solve for x
    x = 170,510,659,841.52/347,816.40
  6. Step 6: Final answer
    x = 490,231.80

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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.