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Finding the Fourth Proportional to 429,268.64, 643,640.52 and 204,697.76

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Solution

The fourth proportional to 429,268.64, 643,640.52 and 204,697.76 is: 306,921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,268.64 : 643,640.52 = 204,697.76 : x
  2. Step 2: Convert to fraction form
    429,268.64/643,640.52 = 204,697.76/x
  3. Step 3: Cross multiply
    429,268.64x = 643,640.52 × 204,697.76
  4. Step 4: Simplify right side
    429,268.64x = 131,751,772,689.24
  5. Step 5: Solve for x
    x = 131,751,772,689.24/429,268.64
  6. Step 6: Final answer
    x = 306,921.49

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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.