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Finding the Fourth Proportional to 328,022.60, 491,726.70 and 256,905.80

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Solution

The fourth proportional to 328,022.60, 491,726.70 and 256,905.80 is: 385,118.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,022.60 : 491,726.70 = 256,905.80 : x
  2. Step 2: Convert to fraction form
    328,022.60/491,726.70 = 256,905.80/x
  3. Step 3: Cross multiply
    328,022.60x = 491,726.70 × 256,905.80
  4. Step 4: Simplify right side
    328,022.60x = 126,327,441,244.86
  5. Step 5: Solve for x
    x = 126,327,441,244.86/328,022.60
  6. Step 6: Final answer
    x = 385,118.10

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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.