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Finding the Fourth Proportional to 309,711.11, 427,433.69 and 173,781.77

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Solution

The fourth proportional to 309,711.11, 427,433.69 and 173,781.77 is: 239,837.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,711.11 : 427,433.69 = 173,781.77 : x
  2. Step 2: Convert to fraction form
    309,711.11/427,433.69 = 173,781.77/x
  3. Step 3: Cross multiply
    309,711.11x = 427,433.69 × 173,781.77
  4. Step 4: Simplify right side
    309,711.11x = 74,280,181,503.12
  5. Step 5: Solve for x
    x = 74,280,181,503.12/309,711.11
  6. Step 6: Final answer
    x = 239,837.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.