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Finding the Fourth Proportional to 416,402.78, 624,604.09 and 227,022.40

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Solution

The fourth proportional to 416,402.78, 624,604.09 and 227,022.40 is: 340,533.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,402.78 : 624,604.09 = 227,022.40 : x
  2. Step 2: Convert to fraction form
    416,402.78/624,604.09 = 227,022.40/x
  3. Step 3: Cross multiply
    416,402.78x = 624,604.09 × 227,022.40
  4. Step 4: Simplify right side
    416,402.78x = 141,799,119,561.62
  5. Step 5: Solve for x
    x = 141,799,119,561.62/416,402.78
  6. Step 6: Final answer
    x = 340,533.56

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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.