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Finding the Fourth Proportional to 448,644.21, 672,741.43 and 149,019.74

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Solution

The fourth proportional to 448,644.21, 672,741.43 and 149,019.74 is: 223,454.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,644.21 : 672,741.43 = 149,019.74 : x
  2. Step 2: Convert to fraction form
    448,644.21/672,741.43 = 149,019.74/x
  3. Step 3: Cross multiply
    448,644.21x = 672,741.43 × 149,019.74
  4. Step 4: Simplify right side
    448,644.21x = 100,251,752,985.83
  5. Step 5: Solve for x
    x = 100,251,752,985.83/448,644.21
  6. Step 6: Final answer
    x = 223,454.91

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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.