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Finding the Fourth Proportional to 419,770.20, 579,296.40 and 238,478.82

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Solution

The fourth proportional to 419,770.20, 579,296.40 and 238,478.82 is: 329,108.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,770.20 : 579,296.40 = 238,478.82 : x
  2. Step 2: Convert to fraction form
    419,770.20/579,296.40 = 238,478.82/x
  3. Step 3: Cross multiply
    419,770.20x = 579,296.40 × 238,478.82
  4. Step 4: Simplify right side
    419,770.20x = 138,149,921,902.25
  5. Step 5: Solve for x
    x = 138,149,921,902.25/419,770.20
  6. Step 6: Final answer
    x = 329,108.45

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1.5x scale

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.