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Finding the Fourth Proportional to 448,576.62, 672,978.24 and 149,058.78

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Solution

The fourth proportional to 448,576.62, 672,978.24 and 149,058.78 is: 223,625.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,576.62 : 672,978.24 = 149,058.78 : x
  2. Step 2: Convert to fraction form
    448,576.62/672,978.24 = 149,058.78/x
  3. Step 3: Cross multiply
    448,576.62x = 672,978.24 × 149,058.78
  4. Step 4: Simplify right side
    448,576.62x = 100,313,315,420.95
  5. Step 5: Solve for x
    x = 100,313,315,420.95/448,576.62
  6. Step 6: Final answer
    x = 223,625.82

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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.