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Finding the Fourth Proportional to 285,786.40, 428,592.04 and 197,606.56

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Solution

The fourth proportional to 285,786.40, 428,592.04 and 197,606.56 is: 296,349.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,786.40 : 428,592.04 = 197,606.56 : x
  2. Step 2: Convert to fraction form
    285,786.40/428,592.04 = 197,606.56/x
  3. Step 3: Cross multiply
    285,786.40x = 428,592.04 × 197,606.56
  4. Step 4: Simplify right side
    285,786.40x = 84,692,598,667.78
  5. Step 5: Solve for x
    x = 84,692,598,667.78/285,786.40
  6. Step 6: Final answer
    x = 296,349.30

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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.