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Finding the Fourth Proportional to 274,670.68, 411,902.34 and 126,823

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Solution

The fourth proportional to 274,670.68, 411,902.34 and 126,823 is: 190,186.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,670.68 : 411,902.34 = 126,823 : x
  2. Step 2: Convert to fraction form
    274,670.68/411,902.34 = 126,823/x
  3. Step 3: Cross multiply
    274,670.68x = 411,902.34 × 126,823
  4. Step 4: Simplify right side
    274,670.68x = 52,238,690,465.82
  5. Step 5: Solve for x
    x = 52,238,690,465.82/274,670.68
  6. Step 6: Final answer
    x = 190,186.63

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1.5x scale

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.