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Finding the Fourth Proportional to 289,896.64, 434,837.83 and 112,403.70

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Solution

The fourth proportional to 289,896.64, 434,837.83 and 112,403.70 is: 168,602.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,896.64 : 434,837.83 = 112,403.70 : x
  2. Step 2: Convert to fraction form
    289,896.64/434,837.83 = 112,403.70/x
  3. Step 3: Cross multiply
    289,896.64x = 434,837.83 × 112,403.70
  4. Step 4: Simplify right side
    289,896.64x = 48,877,380,991.97
  5. Step 5: Solve for x
    x = 48,877,380,991.97/289,896.64
  6. Step 6: Final answer
    x = 168,602.79

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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.