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Finding the Fourth Proportional to 491,367.36, 678,179.76 and 307,691.16

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Solution

The fourth proportional to 491,367.36, 678,179.76 and 307,691.16 is: 424,671.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,367.36 : 678,179.76 = 307,691.16 : x
  2. Step 2: Convert to fraction form
    491,367.36/678,179.76 = 307,691.16/x
  3. Step 3: Cross multiply
    491,367.36x = 678,179.76 × 307,691.16
  4. Step 4: Simplify right side
    491,367.36x = 208,669,917,042.92
  5. Step 5: Solve for x
    x = 208,669,917,042.92/491,367.36
  6. Step 6: Final answer
    x = 424,671.91

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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.