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Finding the Fourth Proportional to 873,905.22, 1,205,986.05 and 491,932.98

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Solution

The fourth proportional to 873,905.22, 1,205,986.05 and 491,932.98 is: 678,865.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,905.22 : 1,205,986.05 = 491,932.98 : x
  2. Step 2: Convert to fraction form
    873,905.22/1,205,986.05 = 491,932.98/x
  3. Step 3: Cross multiply
    873,905.22x = 1,205,986.05 × 491,932.98
  4. Step 4: Simplify right side
    873,905.22x = 593,264,311,414.93
  5. Step 5: Solve for x
    x = 593,264,311,414.93/873,905.22
  6. Step 6: Final answer
    x = 678,865.74

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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.