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Finding the Fourth Proportional to 416,489, 624,733.48 and 100,945.90

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Solution

The fourth proportional to 416,489, 624,733.48 and 100,945.90 is: 151,418.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,489 : 624,733.48 = 100,945.90 : x
  2. Step 2: Convert to fraction form
    416,489/624,733.48 = 100,945.90/x
  3. Step 3: Cross multiply
    416,489x = 624,733.48 × 100,945.90
  4. Step 4: Simplify right side
    416,489x = 63,064,283,398.73
  5. Step 5: Solve for x
    x = 63,064,283,398.73/416,489
  6. Step 6: Final answer
    x = 151,418.85

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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.