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Finding the Fourth Proportional to 416,490.96, 624,736.40 and 100,947.86

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Solution

The fourth proportional to 416,490.96, 624,736.40 and 100,947.86 is: 151,421.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,490.96 : 624,736.40 = 100,947.86 : x
  2. Step 2: Convert to fraction form
    416,490.96/624,736.40 = 100,947.86/x
  3. Step 3: Cross multiply
    416,490.96x = 624,736.40 × 100,947.86
  4. Step 4: Simplify right side
    416,490.96x = 63,065,802,644.10
  5. Step 5: Solve for x
    x = 63,065,802,644.10/416,490.96
  6. Step 6: Final answer
    x = 151,421.78

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1.5x scale

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.