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Finding the Fourth Proportional to 422,424.28, 632,061.54 and 417,700.12

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Solution

The fourth proportional to 422,424.28, 632,061.54 and 417,700.12 is: 624,992.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,424.28 : 632,061.54 = 417,700.12 : x
  2. Step 2: Convert to fraction form
    422,424.28/632,061.54 = 417,700.12/x
  3. Step 3: Cross multiply
    422,424.28x = 632,061.54 × 417,700.12
  4. Step 4: Simplify right side
    422,424.28x = 264,012,181,105.39
  5. Step 5: Solve for x
    x = 264,012,181,105.39/422,424.28
  6. Step 6: Final answer
    x = 624,992.91

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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.