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Finding the Fourth Proportional to 393,911.82, 542,839.86 and 286,311.42

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Solution

The fourth proportional to 393,911.82, 542,839.86 and 286,311.42 is: 394,558.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,911.82 : 542,839.86 = 286,311.42 : x
  2. Step 2: Convert to fraction form
    393,911.82/542,839.86 = 286,311.42/x
  3. Step 3: Cross multiply
    393,911.82x = 542,839.86 × 286,311.42
  4. Step 4: Simplify right side
    393,911.82x = 155,421,251,149.20
  5. Step 5: Solve for x
    x = 155,421,251,149.20/393,911.82
  6. Step 6: Final answer
    x = 394,558.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.