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Finding the Fourth Proportional to 408,921.96, 613,407.24 and 128,439.24

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Solution

The fourth proportional to 408,921.96, 613,407.24 and 128,439.24 is: 192,666.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,921.96 : 613,407.24 = 128,439.24 : x
  2. Step 2: Convert to fraction form
    408,921.96/613,407.24 = 128,439.24/x
  3. Step 3: Cross multiply
    408,921.96x = 613,407.24 × 128,439.24
  4. Step 4: Simplify right side
    408,921.96x = 78,785,559,716.10
  5. Step 5: Solve for x
    x = 78,785,559,716.10/408,921.96
  6. Step 6: Final answer
    x = 192,666.49

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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.