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Finding the Fourth Proportional to 409,403.80, 614,105.70 and 143,136.55

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Solution

The fourth proportional to 409,403.80, 614,105.70 and 143,136.55 is: 214,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,403.80 : 614,105.70 = 143,136.55 : x
  2. Step 2: Convert to fraction form
    409,403.80/614,105.70 = 143,136.55/x
  3. Step 3: Cross multiply
    409,403.80x = 614,105.70 × 143,136.55
  4. Step 4: Simplify right side
    409,403.80x = 87,900,971,233.34
  5. Step 5: Solve for x
    x = 87,900,971,233.34/409,403.80
  6. Step 6: Final answer
    x = 214,704.83

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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.