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Finding the Fourth Proportional to 276,314.92, 413,930.01 and 143,282.14

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Solution

The fourth proportional to 276,314.92, 413,930.01 and 143,282.14 is: 214,641.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,314.92 : 413,930.01 = 143,282.14 : x
  2. Step 2: Convert to fraction form
    276,314.92/413,930.01 = 143,282.14/x
  3. Step 3: Cross multiply
    276,314.92x = 413,930.01 × 143,282.14
  4. Step 4: Simplify right side
    276,314.92x = 59,308,777,643.02
  5. Step 5: Solve for x
    x = 59,308,777,643.02/276,314.92
  6. Step 6: Final answer
    x = 214,641.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.