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Finding the Fourth Proportional to 415,896.10, 622,969.35 and 345,912.10

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Solution

The fourth proportional to 415,896.10, 622,969.35 and 345,912.10 is: 518,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,896.10 : 622,969.35 = 345,912.10 : x
  2. Step 2: Convert to fraction form
    415,896.10/622,969.35 = 345,912.10/x
  3. Step 3: Cross multiply
    415,896.10x = 622,969.35 × 345,912.10
  4. Step 4: Simplify right side
    415,896.10x = 215,492,636,094.14
  5. Step 5: Solve for x
    x = 215,492,636,094.14/415,896.10
  6. Step 6: Final answer
    x = 518,140.56

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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.