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Finding the Fourth Proportional to 408,674.66, 613,015.42 and 142,434.74

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Solution

The fourth proportional to 408,674.66, 613,015.42 and 142,434.74 is: 213,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,674.66 : 613,015.42 = 142,434.74 : x
  2. Step 2: Convert to fraction form
    408,674.66/613,015.42 = 142,434.74/x
  3. Step 3: Cross multiply
    408,674.66x = 613,015.42 × 142,434.74
  4. Step 4: Simplify right side
    408,674.66x = 87,314,691,963.69
  5. Step 5: Solve for x
    x = 87,314,691,963.69/408,674.66
  6. Step 6: Final answer
    x = 213,653.31

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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.