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Finding the Fourth Proportional to 408,696.42, 613,132.83 and 124,409.19

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Solution

The fourth proportional to 408,696.42, 613,132.83 and 124,409.19 is: 186,640.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,696.42 : 613,132.83 = 124,409.19 : x
  2. Step 2: Convert to fraction form
    408,696.42/613,132.83 = 124,409.19/x
  3. Step 3: Cross multiply
    408,696.42x = 613,132.83 × 124,409.19
  4. Step 4: Simplify right side
    408,696.42x = 76,279,358,742.71
  5. Step 5: Solve for x
    x = 76,279,358,742.71/408,696.42
  6. Step 6: Final answer
    x = 186,640.63

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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.