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Finding the Fourth Proportional to 422,422.28, 632,058.54 and 417,698.12

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Solution

The fourth proportional to 422,422.28, 632,058.54 and 417,698.12 is: 624,989.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,422.28 : 632,058.54 = 417,698.12 : x
  2. Step 2: Convert to fraction form
    422,422.28/632,058.54 = 417,698.12/x
  3. Step 3: Cross multiply
    422,422.28x = 632,058.54 × 417,698.12
  4. Step 4: Simplify right side
    422,422.28x = 264,009,663,887.95
  5. Step 5: Solve for x
    x = 264,009,663,887.95/422,422.28
  6. Step 6: Final answer
    x = 624,989.91

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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.