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Finding the Fourth Proportional to 422,690.12, 634,132.38 and 138,389.84

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Solution

The fourth proportional to 422,690.12, 634,132.38 and 138,389.84 is: 207,616.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,690.12 : 634,132.38 = 138,389.84 : x
  2. Step 2: Convert to fraction form
    422,690.12/634,132.38 = 138,389.84/x
  3. Step 3: Cross multiply
    422,690.12x = 634,132.38 × 138,389.84
  4. Step 4: Simplify right side
    422,690.12x = 87,757,478,607.02
  5. Step 5: Solve for x
    x = 87,757,478,607.02/422,690.12
  6. Step 6: Final answer
    x = 207,616.58

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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.