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Finding the Fourth Proportional to 408,673.16, 613,013.15 and 142,433.24

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Solution

The fourth proportional to 408,673.16, 613,013.15 and 142,433.24 is: 213,651.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,673.16 : 613,013.15 = 142,433.24 : x
  2. Step 2: Convert to fraction form
    408,673.16/613,013.15 = 142,433.24/x
  3. Step 3: Cross multiply
    408,673.16x = 613,013.15 × 142,433.24
  4. Step 4: Simplify right side
    408,673.16x = 87,313,449,117.11
  5. Step 5: Solve for x
    x = 87,313,449,117.11/408,673.16
  6. Step 6: Final answer
    x = 213,651.05

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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.