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Finding the Fourth Proportional to 491,940, 678,869.84 and 277,100.96

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Solution

The fourth proportional to 491,940, 678,869.84 and 277,100.96 is: 382,395.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,940 : 678,869.84 = 277,100.96 : x
  2. Step 2: Convert to fraction form
    491,940/678,869.84 = 277,100.96/x
  3. Step 3: Cross multiply
    491,940x = 678,869.84 × 277,100.96
  4. Step 4: Simplify right side
    491,940x = 188,115,484,379.05
  5. Step 5: Solve for x
    x = 188,115,484,379.05/491,940
  6. Step 6: Final answer
    x = 382,395.18

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1.5x scale

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.