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Finding the Fourth Proportional to 422,055.61, 633,135.46 and 137,670.12

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Solution

The fourth proportional to 422,055.61, 633,135.46 and 137,670.12 is: 206,522.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,055.61 : 633,135.46 = 137,670.12 : x
  2. Step 2: Convert to fraction form
    422,055.61/633,135.46 = 137,670.12/x
  3. Step 3: Cross multiply
    422,055.61x = 633,135.46 × 137,670.12
  4. Step 4: Simplify right side
    422,055.61x = 87,163,834,410.28
  5. Step 5: Solve for x
    x = 87,163,834,410.28/422,055.61
  6. Step 6: Final answer
    x = 206,522.16

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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.