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Finding the Fourth Proportional to 279,664.20, 419,496.30 and 277,695.90

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Solution

The fourth proportional to 279,664.20, 419,496.30 and 277,695.90 is: 416,543.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,664.20 : 419,496.30 = 277,695.90 : x
  2. Step 2: Convert to fraction form
    279,664.20/419,496.30 = 277,695.90/x
  3. Step 3: Cross multiply
    279,664.20x = 419,496.30 × 277,695.90
  4. Step 4: Simplify right side
    279,664.20x = 116,492,402,575.17
  5. Step 5: Solve for x
    x = 116,492,402,575.17/279,664.20
  6. Step 6: Final answer
    x = 416,543.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.