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Finding the Fourth Proportional to 628,549.92, 942,819.84 and 416,268

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Solution

The fourth proportional to 628,549.92, 942,819.84 and 416,268 is: 624,398.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,549.92 : 942,819.84 = 416,268 : x
  2. Step 2: Convert to fraction form
    628,549.92/942,819.84 = 416,268/x
  3. Step 3: Cross multiply
    628,549.92x = 942,819.84 × 416,268
  4. Step 4: Simplify right side
    628,549.92x = 392,465,729,157.12
  5. Step 5: Solve for x
    x = 392,465,729,157.12/628,549.92
  6. Step 6: Final answer
    x = 624,398.66

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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.