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Finding the Fourth Proportional to 462,604.31, 638,198.47 and 309,691.76

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Solution

The fourth proportional to 462,604.31, 638,198.47 and 309,691.76 is: 427,243.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,604.31 : 638,198.47 = 309,691.76 : x
  2. Step 2: Convert to fraction form
    462,604.31/638,198.47 = 309,691.76/x
  3. Step 3: Cross multiply
    462,604.31x = 638,198.47 × 309,691.76
  4. Step 4: Simplify right side
    462,604.31x = 197,644,808,840.82
  5. Step 5: Solve for x
    x = 197,644,808,840.82/462,604.31
  6. Step 6: Final answer
    x = 427,243.77

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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.