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Finding the Fourth Proportional to 409,893.39, 565,639.02 and 226,139.31

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Solution

The fourth proportional to 409,893.39, 565,639.02 and 226,139.31 is: 312,064.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,893.39 : 565,639.02 = 226,139.31 : x
  2. Step 2: Convert to fraction form
    409,893.39/565,639.02 = 226,139.31/x
  3. Step 3: Cross multiply
    409,893.39x = 565,639.02 × 226,139.31
  4. Step 4: Simplify right side
    409,893.39x = 127,913,217,691.88
  5. Step 5: Solve for x
    x = 127,913,217,691.88/409,893.39
  6. Step 6: Final answer
    x = 312,064.60

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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.