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Finding the Fourth Proportional to 408,657.40, 613,039.66 and 135,012.69

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Solution

The fourth proportional to 408,657.40, 613,039.66 and 135,012.69 is: 202,536.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,657.40 : 613,039.66 = 135,012.69 : x
  2. Step 2: Convert to fraction form
    408,657.40/613,039.66 = 135,012.69/x
  3. Step 3: Cross multiply
    408,657.40x = 613,039.66 × 135,012.69
  4. Step 4: Simplify right side
    408,657.40x = 82,768,135,463.13
  5. Step 5: Solve for x
    x = 82,768,135,463.13/408,657.40
  6. Step 6: Final answer
    x = 202,536.74

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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.