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Finding the Fourth Proportional to 245,408.80, 368,113.20 and 217,415.20

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Solution

The fourth proportional to 245,408.80, 368,113.20 and 217,415.20 is: 326,122.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,408.80 : 368,113.20 = 217,415.20 : x
  2. Step 2: Convert to fraction form
    245,408.80/368,113.20 = 217,415.20/x
  3. Step 3: Cross multiply
    245,408.80x = 368,113.20 × 217,415.20
  4. Step 4: Simplify right side
    245,408.80x = 80,033,405,000.64
  5. Step 5: Solve for x
    x = 80,033,405,000.64/245,408.80
  6. Step 6: Final answer
    x = 326,122.80

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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.