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Finding the Fourth Proportional to 448,648.70, 671,392.24 and 280,248.32

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Solution

The fourth proportional to 448,648.70, 671,392.24 and 280,248.32 is: 419,385.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,648.70 : 671,392.24 = 280,248.32 : x
  2. Step 2: Convert to fraction form
    448,648.70/671,392.24 = 280,248.32/x
  3. Step 3: Cross multiply
    448,648.70x = 671,392.24 × 280,248.32
  4. Step 4: Simplify right side
    448,648.70x = 188,156,548,298.90
  5. Step 5: Solve for x
    x = 188,156,548,298.90/448,648.70
  6. Step 6: Final answer
    x = 419,385.03

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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.