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Finding the Fourth Proportional to 431,701.80, 648,135.90 and 274,237.80

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Solution

The fourth proportional to 431,701.80, 648,135.90 and 274,237.80 is: 411,727.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,701.80 : 648,135.90 = 274,237.80 : x
  2. Step 2: Convert to fraction form
    431,701.80/648,135.90 = 274,237.80/x
  3. Step 3: Cross multiply
    431,701.80x = 648,135.90 × 274,237.80
  4. Step 4: Simplify right side
    431,701.80x = 177,743,363,317.02
  5. Step 5: Solve for x
    x = 177,743,363,317.02/431,701.80
  6. Step 6: Final answer
    x = 411,727.18

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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.