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Finding the Fourth Proportional to 408,783, 613,209.06 and 113,295

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Solution

The fourth proportional to 408,783, 613,209.06 and 113,295 is: 169,952.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,783 : 613,209.06 = 113,295 : x
  2. Step 2: Convert to fraction form
    408,783/613,209.06 = 113,295/x
  3. Step 3: Cross multiply
    408,783x = 613,209.06 × 113,295
  4. Step 4: Simplify right side
    408,783x = 69,473,520,452.70
  5. Step 5: Solve for x
    x = 69,473,520,452.70/408,783
  6. Step 6: Final answer
    x = 169,952.08

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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.