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Finding the Fourth Proportional to 256,969, 385,197.54 and 123,811.48

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Solution

The fourth proportional to 256,969, 385,197.54 and 123,811.48 is: 185,593.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,969 : 385,197.54 = 123,811.48 : x
  2. Step 2: Convert to fraction form
    256,969/385,197.54 = 123,811.48/x
  3. Step 3: Cross multiply
    256,969x = 385,197.54 × 123,811.48
  4. Step 4: Simplify right side
    256,969x = 47,691,877,519.76
  5. Step 5: Solve for x
    x = 47,691,877,519.76/256,969
  6. Step 6: Final answer
    x = 185,593.89

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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.