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Finding the Fourth Proportional to 491,264.84, 677,951.72 and 276,405.32

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Solution

The fourth proportional to 491,264.84, 677,951.72 and 276,405.32 is: 381,442.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,264.84 : 677,951.72 = 276,405.32 : x
  2. Step 2: Convert to fraction form
    491,264.84/677,951.72 = 276,405.32/x
  3. Step 3: Cross multiply
    491,264.84x = 677,951.72 × 276,405.32
  4. Step 4: Simplify right side
    491,264.84x = 187,389,460,729.12
  5. Step 5: Solve for x
    x = 187,389,460,729.12/491,264.84
  6. Step 6: Final answer
    x = 381,442.85

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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.