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Finding the Fourth Proportional to 421,482.22, 581,469 and 276,322.84

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Solution

The fourth proportional to 421,482.22, 581,469 and 276,322.84 is: 381,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,482.22 : 581,469 = 276,322.84 : x
  2. Step 2: Convert to fraction form
    421,482.22/581,469 = 276,322.84/x
  3. Step 3: Cross multiply
    421,482.22x = 581,469 × 276,322.84
  4. Step 4: Simplify right side
    421,482.22x = 160,673,165,451.96
  5. Step 5: Solve for x
    x = 160,673,165,451.96/421,482.22
  6. Step 6: Final answer
    x = 381,209.83

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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.