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Finding the Fourth Proportional to 276,221.67, 413,667.90 and 187,205.10

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Solution

The fourth proportional to 276,221.67, 413,667.90 and 187,205.10 is: 280,357.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,221.67 : 413,667.90 = 187,205.10 : x
  2. Step 2: Convert to fraction form
    276,221.67/413,667.90 = 187,205.10/x
  3. Step 3: Cross multiply
    276,221.67x = 413,667.90 × 187,205.10
  4. Step 4: Simplify right side
    276,221.67x = 77,440,740,586.29
  5. Step 5: Solve for x
    x = 77,440,740,586.29/276,221.67
  6. Step 6: Final answer
    x = 280,357.22

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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.