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Finding the Fourth Proportional to 285,927.40, 428,891.10 and 197,453.80

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Solution

The fourth proportional to 285,927.40, 428,891.10 and 197,453.80 is: 296,180.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,927.40 : 428,891.10 = 197,453.80 : x
  2. Step 2: Convert to fraction form
    285,927.40/428,891.10 = 197,453.80/x
  3. Step 3: Cross multiply
    285,927.40x = 428,891.10 × 197,453.80
  4. Step 4: Simplify right side
    285,927.40x = 84,686,177,481.18
  5. Step 5: Solve for x
    x = 84,686,177,481.18/285,927.40
  6. Step 6: Final answer
    x = 296,180.70

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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.