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Finding the Fourth Proportional to 416,364.57, 624,548.48 and 100,821.78

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Solution

The fourth proportional to 416,364.57, 624,548.48 and 100,821.78 is: 151,233.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,364.57 : 624,548.48 = 100,821.78 : x
  2. Step 2: Convert to fraction form
    416,364.57/624,548.48 = 100,821.78/x
  3. Step 3: Cross multiply
    416,364.57x = 624,548.48 × 100,821.78
  4. Step 4: Simplify right side
    416,364.57x = 62,968,088,945.79
  5. Step 5: Solve for x
    x = 62,968,088,945.79/416,364.57
  6. Step 6: Final answer
    x = 151,233.06

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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.