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Finding the Fourth Proportional to 408,911.40, 613,367.10 and 128,428.20

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Solution

The fourth proportional to 408,911.40, 613,367.10 and 128,428.20 is: 192,642.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,911.40 : 613,367.10 = 128,428.20 : x
  2. Step 2: Convert to fraction form
    408,911.40/613,367.10 = 128,428.20/x
  3. Step 3: Cross multiply
    408,911.40x = 613,367.10 × 128,428.20
  4. Step 4: Simplify right side
    408,911.40x = 78,773,632,592.22
  5. Step 5: Solve for x
    x = 78,773,632,592.22/408,911.40
  6. Step 6: Final answer
    x = 192,642.30

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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.