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Finding the Fourth Proportional to 409,936.98, 615,092.30 and 210,397.49

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Solution

The fourth proportional to 409,936.98, 615,092.30 and 210,397.49 is: 315,692.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,936.98 : 615,092.30 = 210,397.49 : x
  2. Step 2: Convert to fraction form
    409,936.98/615,092.30 = 210,397.49/x
  3. Step 3: Cross multiply
    409,936.98x = 615,092.30 × 210,397.49
  4. Step 4: Simplify right side
    409,936.98x = 129,413,876,038.33
  5. Step 5: Solve for x
    x = 129,413,876,038.33/409,936.98
  6. Step 6: Final answer
    x = 315,692.12

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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.