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Finding the Fourth Proportional to 420,364, 580,102.32 and 269,461

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Solution

The fourth proportional to 420,364, 580,102.32 and 269,461 is: 371,856.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,364 : 580,102.32 = 269,461 : x
  2. Step 2: Convert to fraction form
    420,364/580,102.32 = 269,461/x
  3. Step 3: Cross multiply
    420,364x = 580,102.32 × 269,461
  4. Step 4: Simplify right side
    420,364x = 156,314,951,249.52
  5. Step 5: Solve for x
    x = 156,314,951,249.52/420,364
  6. Step 6: Final answer
    x = 371,856.18

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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.