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Finding the Fourth Proportional to 428,071.78, 642,419.01 and 344,836.78

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Solution

The fourth proportional to 428,071.78, 642,419.01 and 344,836.78 is: 517,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,071.78 : 642,419.01 = 344,836.78 : x
  2. Step 2: Convert to fraction form
    428,071.78/642,419.01 = 344,836.78/x
  3. Step 3: Cross multiply
    428,071.78x = 642,419.01 × 344,836.78
  4. Step 4: Simplify right side
    428,071.78x = 221,529,702,819.19
  5. Step 5: Solve for x
    x = 221,529,702,819.19/428,071.78
  6. Step 6: Final answer
    x = 517,505.97

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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.