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Finding the Fourth Proportional to 639,874.32, 959,712.84 and 213,417.60

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Solution

The fourth proportional to 639,874.32, 959,712.84 and 213,417.60 is: 320,093.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,874.32 : 959,712.84 = 213,417.60 : x
  2. Step 2: Convert to fraction form
    639,874.32/959,712.84 = 213,417.60/x
  3. Step 3: Cross multiply
    639,874.32x = 959,712.84 × 213,417.60
  4. Step 4: Simplify right side
    639,874.32x = 204,819,611,001.98
  5. Step 5: Solve for x
    x = 204,819,611,001.98/639,874.32
  6. Step 6: Final answer
    x = 320,093.50

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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.