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Finding the Fourth Proportional to 415,898.28, 623,896.20 and 145,944

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Solution

The fourth proportional to 415,898.28, 623,896.20 and 145,944 is: 218,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,898.28 : 623,896.20 = 145,944 : x
  2. Step 2: Convert to fraction form
    415,898.28/623,896.20 = 145,944/x
  3. Step 3: Cross multiply
    415,898.28x = 623,896.20 × 145,944
  4. Step 4: Simplify right side
    415,898.28x = 91,053,907,012.80
  5. Step 5: Solve for x
    x = 91,053,907,012.80/415,898.28
  6. Step 6: Final answer
    x = 218,933.12

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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.