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Finding the Fourth Proportional to 419,227.40, 578,514.75 and 228,240.38

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Solution

The fourth proportional to 419,227.40, 578,514.75 and 228,240.38 is: 314,961.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,227.40 : 578,514.75 = 228,240.38 : x
  2. Step 2: Convert to fraction form
    419,227.40/578,514.75 = 228,240.38/x
  3. Step 3: Cross multiply
    419,227.40x = 578,514.75 × 228,240.38
  4. Step 4: Simplify right side
    419,227.40x = 132,040,426,375.61
  5. Step 5: Solve for x
    x = 132,040,426,375.61/419,227.40
  6. Step 6: Final answer
    x = 314,961.35

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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.