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Finding the Fourth Proportional to 431,722.60, 647,583.90 and 274,647.40

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Solution

The fourth proportional to 431,722.60, 647,583.90 and 274,647.40 is: 411,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,722.60 : 647,583.90 = 274,647.40 : x
  2. Step 2: Convert to fraction form
    431,722.60/647,583.90 = 274,647.40/x
  3. Step 3: Cross multiply
    431,722.60x = 647,583.90 × 274,647.40
  4. Step 4: Simplify right side
    431,722.60x = 177,857,234,416.86
  5. Step 5: Solve for x
    x = 177,857,234,416.86/431,722.60
  6. Step 6: Final answer
    x = 411,971.10

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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.