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Finding the Fourth Proportional to 492,534.56, 679,668.40 and 285,786.96

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Solution

The fourth proportional to 492,534.56, 679,668.40 and 285,786.96 is: 394,369.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,534.56 : 679,668.40 = 285,786.96 : x
  2. Step 2: Convert to fraction form
    492,534.56/679,668.40 = 285,786.96/x
  3. Step 3: Cross multiply
    492,534.56x = 679,668.40 × 285,786.96
  4. Step 4: Simplify right side
    492,534.56x = 194,240,365,844.06
  5. Step 5: Solve for x
    x = 194,240,365,844.06/492,534.56
  6. Step 6: Final answer
    x = 394,369.01

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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.