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Finding the Fourth Proportional to 309,967.76, 427,645.50 and 202,599.78

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Solution

The fourth proportional to 309,967.76, 427,645.50 and 202,599.78 is: 279,515.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,967.76 : 427,645.50 = 202,599.78 : x
  2. Step 2: Convert to fraction form
    309,967.76/427,645.50 = 202,599.78/x
  3. Step 3: Cross multiply
    309,967.76x = 427,645.50 × 202,599.78
  4. Step 4: Simplify right side
    309,967.76x = 86,640,884,217.99
  5. Step 5: Solve for x
    x = 86,640,884,217.99/309,967.76
  6. Step 6: Final answer
    x = 279,515.79

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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.