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Finding the Fourth Proportional to 491,865.54, 678,776.76 and 277,009.26

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Solution

The fourth proportional to 491,865.54, 678,776.76 and 277,009.26 is: 382,274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,865.54 : 678,776.76 = 277,009.26 : x
  2. Step 2: Convert to fraction form
    491,865.54/678,776.76 = 277,009.26/x
  3. Step 3: Cross multiply
    491,865.54x = 678,776.76 × 277,009.26
  4. Step 4: Simplify right side
    491,865.54x = 188,027,447,992.80
  5. Step 5: Solve for x
    x = 188,027,447,992.80/491,865.54
  6. Step 6: Final answer
    x = 382,274.08

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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.