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Finding the Fourth Proportional to 281,627.70, 421,663.95 and 219,419.70

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Solution

The fourth proportional to 281,627.70, 421,663.95 and 219,419.70 is: 328,523.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,627.70 : 421,663.95 = 219,419.70 : x
  2. Step 2: Convert to fraction form
    281,627.70/421,663.95 = 219,419.70/x
  3. Step 3: Cross multiply
    281,627.70x = 421,663.95 × 219,419.70
  4. Step 4: Simplify right side
    281,627.70x = 92,521,377,409.82
  5. Step 5: Solve for x
    x = 92,521,377,409.82/281,627.70
  6. Step 6: Final answer
    x = 328,523.71

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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.