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Finding the Fourth Proportional to 431,704.30, 648,139.65 and 274,240.30

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Solution

The fourth proportional to 431,704.30, 648,139.65 and 274,240.30 is: 411,730.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,704.30 : 648,139.65 = 274,240.30 : x
  2. Step 2: Convert to fraction form
    431,704.30/648,139.65 = 274,240.30/x
  3. Step 3: Cross multiply
    431,704.30x = 648,139.65 × 274,240.30
  4. Step 4: Simplify right side
    431,704.30x = 177,746,012,057.90
  5. Step 5: Solve for x
    x = 177,746,012,057.90/431,704.30
  6. Step 6: Final answer
    x = 411,730.93

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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.