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Finding the Fourth Proportional to 309,965.76, 427,642.74 and 202,597.79

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Solution

The fourth proportional to 309,965.76, 427,642.74 and 202,597.79 is: 279,513.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,965.76 : 427,642.74 = 202,597.79 : x
  2. Step 2: Convert to fraction form
    309,965.76/427,642.74 = 202,597.79/x
  3. Step 3: Cross multiply
    309,965.76x = 427,642.74 × 202,597.79
  4. Step 4: Simplify right side
    309,965.76x = 86,639,471,895.33
  5. Step 5: Solve for x
    x = 86,639,471,895.33/309,965.76
  6. Step 6: Final answer
    x = 279,513.04

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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.