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Finding the Fourth Proportional to 491,866.34, 678,773.87 and 277,006.35

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Solution

The fourth proportional to 491,866.34, 678,773.87 and 277,006.35 is: 382,267.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,866.34 : 678,773.87 = 277,006.35 : x
  2. Step 2: Convert to fraction form
    491,866.34/678,773.87 = 277,006.35/x
  3. Step 3: Cross multiply
    491,866.34x = 678,773.87 × 277,006.35
  4. Step 4: Simplify right side
    491,866.34x = 188,024,672,204.08
  5. Step 5: Solve for x
    x = 188,024,672,204.08/491,866.34
  6. Step 6: Final answer
    x = 382,267.82

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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.