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Finding the Fourth Proportional to 408,314.75, 612,470.75 and 104,708.57

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Solution

The fourth proportional to 408,314.75, 612,470.75 and 104,708.57 is: 157,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,314.75 : 612,470.75 = 104,708.57 : x
  2. Step 2: Convert to fraction form
    408,314.75/612,470.75 = 104,708.57/x
  3. Step 3: Cross multiply
    408,314.75x = 612,470.75 × 104,708.57
  4. Step 4: Simplify right side
    408,314.75x = 64,130,932,813.43
  5. Step 5: Solve for x
    x = 64,130,932,813.43/408,314.75
  6. Step 6: Final answer
    x = 157,062.50

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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.