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Finding the Fourth Proportional to 309,868.77, 427,459.50 and 206,680.62

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Solution

The fourth proportional to 309,868.77, 427,459.50 and 206,680.62 is: 285,112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,868.77 : 427,459.50 = 206,680.62 : x
  2. Step 2: Convert to fraction form
    309,868.77/427,459.50 = 206,680.62/x
  3. Step 3: Cross multiply
    309,868.77x = 427,459.50 × 206,680.62
  4. Step 4: Simplify right side
    309,868.77x = 88,347,594,484.89
  5. Step 5: Solve for x
    x = 88,347,594,484.89/309,868.77
  6. Step 6: Final answer
    x = 285,112.94

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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.