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Finding the Fourth Proportional to 409,052.27, 613,611.21 and 142,806.89

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Solution

The fourth proportional to 409,052.27, 613,611.21 and 142,806.89 is: 214,221.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,052.27 : 613,611.21 = 142,806.89 : x
  2. Step 2: Convert to fraction form
    409,052.27/613,611.21 = 142,806.89/x
  3. Step 3: Cross multiply
    409,052.27x = 613,611.21 × 142,806.89
  4. Step 4: Simplify right side
    409,052.27x = 87,627,908,569.24
  5. Step 5: Solve for x
    x = 87,627,908,569.24/409,052.27
  6. Step 6: Final answer
    x = 214,221.79

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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.