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Finding the Fourth Proportional to 854,408.80, 1,281,728.40 and 293,615.20

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Solution

The fourth proportional to 854,408.80, 1,281,728.40 and 293,615.20 is: 440,462.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,408.80 : 1,281,728.40 = 293,615.20 : x
  2. Step 2: Convert to fraction form
    854,408.80/1,281,728.40 = 293,615.20/x
  3. Step 3: Cross multiply
    854,408.80x = 1,281,728.40 × 293,615.20
  4. Step 4: Simplify right side
    854,408.80x = 376,334,940,511.68
  5. Step 5: Solve for x
    x = 376,334,940,511.68/854,408.80
  6. Step 6: Final answer
    x = 440,462.39

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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.