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Finding the Fourth Proportional to 415,378.56, 623,111.58 and 204,814.20

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Solution

The fourth proportional to 415,378.56, 623,111.58 and 204,814.20 is: 307,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,378.56 : 623,111.58 = 204,814.20 : x
  2. Step 2: Convert to fraction form
    415,378.56/623,111.58 = 204,814.20/x
  3. Step 3: Cross multiply
    415,378.56x = 623,111.58 × 204,814.20
  4. Step 4: Simplify right side
    415,378.56x = 127,622,099,768.44
  5. Step 5: Solve for x
    x = 127,622,099,768.44/415,378.56
  6. Step 6: Final answer
    x = 307,242.87

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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.