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Finding the Fourth Proportional to 285,882.50, 428,823.75 and 195,836.42

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Solution

The fourth proportional to 285,882.50, 428,823.75 and 195,836.42 is: 293,754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,882.50 : 428,823.75 = 195,836.42 : x
  2. Step 2: Convert to fraction form
    285,882.50/428,823.75 = 195,836.42/x
  3. Step 3: Cross multiply
    285,882.50x = 428,823.75 × 195,836.42
  4. Step 4: Simplify right side
    285,882.50x = 83,979,308,010.98
  5. Step 5: Solve for x
    x = 83,979,308,010.98/285,882.50
  6. Step 6: Final answer
    x = 293,754.63

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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.