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Finding the Fourth Proportional to 308,594.72, 463,177.28 and 190,496.80

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Solution

The fourth proportional to 308,594.72, 463,177.28 and 190,496.80 is: 285,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,594.72 : 463,177.28 = 190,496.80 : x
  2. Step 2: Convert to fraction form
    308,594.72/463,177.28 = 190,496.80/x
  3. Step 3: Cross multiply
    308,594.72x = 463,177.28 × 190,496.80
  4. Step 4: Simplify right side
    308,594.72x = 88,233,789,672.70
  5. Step 5: Solve for x
    x = 88,233,789,672.70/308,594.72
  6. Step 6: Final answer
    x = 285,921.26

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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.