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Finding the Fourth Proportional to 420,250, 579,945 and 269,347

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Solution

The fourth proportional to 420,250, 579,945 and 269,347 is: 371,698.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,250 : 579,945 = 269,347 : x
  2. Step 2: Convert to fraction form
    420,250/579,945 = 269,347/x
  3. Step 3: Cross multiply
    420,250x = 579,945 × 269,347
  4. Step 4: Simplify right side
    420,250x = 156,206,445,915
  5. Step 5: Solve for x
    x = 156,206,445,915/420,250
  6. Step 6: Final answer
    x = 371,698.86

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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.