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Finding the Fourth Proportional to 420,306, 580,022.28 and 269,403.36

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Solution

The fourth proportional to 420,306, 580,022.28 and 269,403.36 is: 371,776.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,306 : 580,022.28 = 269,403.36 : x
  2. Step 2: Convert to fraction form
    420,306/580,022.28 = 269,403.36/x
  3. Step 3: Cross multiply
    420,306x = 580,022.28 × 269,403.36
  4. Step 4: Simplify right side
    420,306x = 156,259,951,106.86
  5. Step 5: Solve for x
    x = 156,259,951,106.86/420,306
  6. Step 6: Final answer
    x = 371,776.64

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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.