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Finding the Fourth Proportional to 445,635.64, 614,978.19 and 254,648.56

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Solution

The fourth proportional to 445,635.64, 614,978.19 and 254,648.56 is: 351,415.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,635.64 : 614,978.19 = 254,648.56 : x
  2. Step 2: Convert to fraction form
    445,635.64/614,978.19 = 254,648.56/x
  3. Step 3: Cross multiply
    445,635.64x = 614,978.19 × 254,648.56
  4. Step 4: Simplify right side
    445,635.64x = 156,603,310,514.91
  5. Step 5: Solve for x
    x = 156,603,310,514.91/445,635.64
  6. Step 6: Final answer
    x = 351,415.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.