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Finding the Fourth Proportional to 491,695.11, 678,497.92 and 300,671.60

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Solution

The fourth proportional to 491,695.11, 678,497.92 and 300,671.60 is: 414,901.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,695.11 : 678,497.92 = 300,671.60 : x
  2. Step 2: Convert to fraction form
    491,695.11/678,497.92 = 300,671.60/x
  3. Step 3: Cross multiply
    491,695.11x = 678,497.92 × 300,671.60
  4. Step 4: Simplify right side
    491,695.11x = 204,005,051,058.90
  5. Step 5: Solve for x
    x = 204,005,051,058.90/491,695.11
  6. Step 6: Final answer
    x = 414,901.53

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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.