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Finding the Fourth Proportional to 438,611.44, 657,387 and 213,634.76

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Solution

The fourth proportional to 438,611.44, 657,387 and 213,634.76 is: 320,193.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,611.44 : 657,387 = 213,634.76 : x
  2. Step 2: Convert to fraction form
    438,611.44/657,387 = 213,634.76/x
  3. Step 3: Cross multiply
    438,611.44x = 657,387 × 213,634.76
  4. Step 4: Simplify right side
    438,611.44x = 140,440,713,972.12
  5. Step 5: Solve for x
    x = 140,440,713,972.12/438,611.44
  6. Step 6: Final answer
    x = 320,193.91

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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.