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Finding the Fourth Proportional to 470,760, 706,451.04 and 221,461.44

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Solution

The fourth proportional to 470,760, 706,451.04 and 221,461.44 is: 332,338.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,760 : 706,451.04 = 221,461.44 : x
  2. Step 2: Convert to fraction form
    470,760/706,451.04 = 221,461.44/x
  3. Step 3: Cross multiply
    470,760x = 706,451.04 × 221,461.44
  4. Step 4: Simplify right side
    470,760x = 156,451,664,607.90
  5. Step 5: Solve for x
    x = 156,451,664,607.90/470,760
  6. Step 6: Final answer
    x = 332,338.48

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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.