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Finding the Fourth Proportional to 420,363, 580,100.94 and 269,460

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Solution

The fourth proportional to 420,363, 580,100.94 and 269,460 is: 371,854.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,363 : 580,100.94 = 269,460 : x
  2. Step 2: Convert to fraction form
    420,363/580,100.94 = 269,460/x
  3. Step 3: Cross multiply
    420,363x = 580,100.94 × 269,460
  4. Step 4: Simplify right side
    420,363x = 156,313,999,292.40
  5. Step 5: Solve for x
    x = 156,313,999,292.40/420,363
  6. Step 6: Final answer
    x = 371,854.80

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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.