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Finding the Fourth Proportional to 610,147, 842,003.10 and 371,683

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Solution

The fourth proportional to 610,147, 842,003.10 and 371,683 is: 512,922.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,147 : 842,003.10 = 371,683 : x
  2. Step 2: Convert to fraction form
    610,147/842,003.10 = 371,683/x
  3. Step 3: Cross multiply
    610,147x = 842,003.10 × 371,683
  4. Step 4: Simplify right side
    610,147x = 312,958,238,217.30
  5. Step 5: Solve for x
    x = 312,958,238,217.30/610,147
  6. Step 6: Final answer
    x = 512,922.69

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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.