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Finding the Fourth Proportional to 421,396.10, 581,684.75 and 276,211.23

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Solution

The fourth proportional to 421,396.10, 581,684.75 and 276,211.23 is: 381,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,396.10 : 581,684.75 = 276,211.23 : x
  2. Step 2: Convert to fraction form
    421,396.10/581,684.75 = 276,211.23/x
  3. Step 3: Cross multiply
    421,396.10x = 581,684.75 × 276,211.23
  4. Step 4: Simplify right side
    421,396.10x = 160,667,858,888.69
  5. Step 5: Solve for x
    x = 160,667,858,888.69/421,396.10
  6. Step 6: Final answer
    x = 381,275.15

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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.