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Finding the Fourth Proportional to 491,706.32, 678,557.05 and 276,849.97

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Solution

The fourth proportional to 491,706.32, 678,557.05 and 276,849.97 is: 382,054.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,706.32 : 678,557.05 = 276,849.97 : x
  2. Step 2: Convert to fraction form
    491,706.32/678,557.05 = 276,849.97/x
  3. Step 3: Cross multiply
    491,706.32x = 678,557.05 × 276,849.97
  4. Step 4: Simplify right side
    491,706.32x = 187,858,496,547.27
  5. Step 5: Solve for x
    x = 187,858,496,547.27/491,706.32
  6. Step 6: Final answer
    x = 382,054.27

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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.