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Finding the Fourth Proportional to 420,246, 579,939.48 and 269,343

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Solution

The fourth proportional to 420,246, 579,939.48 and 269,343 is: 371,693.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,246 : 579,939.48 = 269,343 : x
  2. Step 2: Convert to fraction form
    420,246/579,939.48 = 269,343/x
  3. Step 3: Cross multiply
    420,246x = 579,939.48 × 269,343
  4. Step 4: Simplify right side
    420,246x = 156,202,639,361.64
  5. Step 5: Solve for x
    x = 156,202,639,361.64/420,246
  6. Step 6: Final answer
    x = 371,693.34

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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.