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Finding the Fourth Proportional to 208,027.20, 312,215.85 and 194,905.20

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Solution

The fourth proportional to 208,027.20, 312,215.85 and 194,905.20 is: 292,521.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,027.20 : 312,215.85 = 194,905.20 : x
  2. Step 2: Convert to fraction form
    208,027.20/312,215.85 = 194,905.20/x
  3. Step 3: Cross multiply
    208,027.20x = 312,215.85 × 194,905.20
  4. Step 4: Simplify right side
    208,027.20x = 60,852,492,687.42
  5. Step 5: Solve for x
    x = 60,852,492,687.42/208,027.20
  6. Step 6: Final answer
    x = 292,521.81

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1.5x scale

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.