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Finding the Fourth Proportional to 491,124, 677,702.70 and 276,259.44

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Solution

The fourth proportional to 491,124, 677,702.70 and 276,259.44 is: 381,210.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,124 : 677,702.70 = 276,259.44 : x
  2. Step 2: Convert to fraction form
    491,124/677,702.70 = 276,259.44/x
  3. Step 3: Cross multiply
    491,124x = 677,702.70 × 276,259.44
  4. Step 4: Simplify right side
    491,124x = 187,221,768,388.49
  5. Step 5: Solve for x
    x = 187,221,768,388.49/491,124
  6. Step 6: Final answer
    x = 381,210.79

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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.