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Finding the Fourth Proportional to 393,231, 542,504.74 and 242,065.56

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Solution

The fourth proportional to 393,231, 542,504.74 and 242,065.56 is: 333,955.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,231 : 542,504.74 = 242,065.56 : x
  2. Step 2: Convert to fraction form
    393,231/542,504.74 = 242,065.56/x
  3. Step 3: Cross multiply
    393,231x = 542,504.74 × 242,065.56
  4. Step 4: Simplify right side
    393,231x = 131,321,713,690.75
  5. Step 5: Solve for x
    x = 131,321,713,690.75/393,231
  6. Step 6: Final answer
    x = 333,955.65

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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.