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Finding the Fourth Proportional to 407,426.40, 611,197.20 and 126,914.40

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Solution

The fourth proportional to 407,426.40, 611,197.20 and 126,914.40 is: 190,389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,426.40 : 611,197.20 = 126,914.40 : x
  2. Step 2: Convert to fraction form
    407,426.40/611,197.20 = 126,914.40/x
  3. Step 3: Cross multiply
    407,426.40x = 611,197.20 × 126,914.40
  4. Step 4: Simplify right side
    407,426.40x = 77,569,725,919.68
  5. Step 5: Solve for x
    x = 77,569,725,919.68/407,426.40
  6. Step 6: Final answer
    x = 190,389.54

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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.