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Finding the Fourth Proportional to 410,136.90, 614,744.55 and 210,380.10

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Solution

The fourth proportional to 410,136.90, 614,744.55 and 210,380.10 is: 315,333.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,136.90 : 614,744.55 = 210,380.10 : x
  2. Step 2: Convert to fraction form
    410,136.90/614,744.55 = 210,380.10/x
  3. Step 3: Cross multiply
    410,136.90x = 614,744.55 × 210,380.10
  4. Step 4: Simplify right side
    410,136.90x = 129,330,019,903.46
  5. Step 5: Solve for x
    x = 129,330,019,903.46/410,136.90
  6. Step 6: Final answer
    x = 315,333.78

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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.