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Finding the Fourth Proportional to 408,782.08, 613,172 and 128,320.32

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Solution

The fourth proportional to 408,782.08, 613,172 and 128,320.32 is: 192,480.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,782.08 : 613,172 = 128,320.32 : x
  2. Step 2: Convert to fraction form
    408,782.08/613,172 = 128,320.32/x
  3. Step 3: Cross multiply
    408,782.08x = 613,172 × 128,320.32
  4. Step 4: Simplify right side
    408,782.08x = 78,682,427,255.04
  5. Step 5: Solve for x
    x = 78,682,427,255.04/408,782.08
  6. Step 6: Final answer
    x = 192,480.13

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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.