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Finding the Fourth Proportional to 408,913.40, 613,370.10 and 113,425.40

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Solution

The fourth proportional to 408,913.40, 613,370.10 and 113,425.40 is: 170,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,913.40 : 613,370.10 = 113,425.40 : x
  2. Step 2: Convert to fraction form
    408,913.40/613,370.10 = 113,425.40/x
  3. Step 3: Cross multiply
    408,913.40x = 613,370.10 × 113,425.40
  4. Step 4: Simplify right side
    408,913.40x = 69,571,748,940.54
  5. Step 5: Solve for x
    x = 69,571,748,940.54/408,913.40
  6. Step 6: Final answer
    x = 170,138.10

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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.