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Finding the Fourth Proportional to 416,490.86, 624,736.26 and 100,947.75

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Solution

The fourth proportional to 416,490.86, 624,736.26 and 100,947.75 is: 151,421.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,490.86 : 624,736.26 = 100,947.75 : x
  2. Step 2: Convert to fraction form
    416,490.86/624,736.26 = 100,947.75/x
  3. Step 3: Cross multiply
    416,490.86x = 624,736.26 × 100,947.75
  4. Step 4: Simplify right side
    416,490.86x = 63,065,719,790.42
  5. Step 5: Solve for x
    x = 63,065,719,790.42/416,490.86
  6. Step 6: Final answer
    x = 151,421.62

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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.