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Finding the Fourth Proportional to 419,770.33, 579,298.70 and 238,512.98

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Solution

The fourth proportional to 419,770.33, 579,298.70 and 238,512.98 is: 329,156.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,770.33 : 579,298.70 = 238,512.98 : x
  2. Step 2: Convert to fraction form
    419,770.33/579,298.70 = 238,512.98/x
  3. Step 3: Cross multiply
    419,770.33x = 579,298.70 × 238,512.98
  4. Step 4: Simplify right side
    419,770.33x = 138,170,261,291.66
  5. Step 5: Solve for x
    x = 138,170,261,291.66/419,770.33
  6. Step 6: Final answer
    x = 329,156.81

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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.