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Finding the Fourth Proportional to 431,704.80, 648,140.40 and 274,240.80

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Solution

The fourth proportional to 431,704.80, 648,140.40 and 274,240.80 is: 411,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,704.80 : 648,140.40 = 274,240.80 : x
  2. Step 2: Convert to fraction form
    431,704.80/648,140.40 = 274,240.80/x
  3. Step 3: Cross multiply
    431,704.80x = 648,140.40 × 274,240.80
  4. Step 4: Simplify right side
    431,704.80x = 177,746,541,808.32
  5. Step 5: Solve for x
    x = 177,746,541,808.32/431,704.80
  6. Step 6: Final answer
    x = 411,731.68

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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.