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Finding the Fourth Proportional to 448,638.57, 671,377.03 and 280,238.20

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Solution

The fourth proportional to 448,638.57, 671,377.03 and 280,238.20 is: 419,369.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,638.57 : 671,377.03 = 280,238.20 : x
  2. Step 2: Convert to fraction form
    448,638.57/671,377.03 = 280,238.20/x
  3. Step 3: Cross multiply
    448,638.57x = 671,377.03 × 280,238.20
  4. Step 4: Simplify right side
    448,638.57x = 188,145,488,029.51
  5. Step 5: Solve for x
    x = 188,145,488,029.51/448,638.57
  6. Step 6: Final answer
    x = 419,369.85

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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.