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Finding the Fourth Proportional to 470,821, 706,542.54 and 221,522.44

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Solution

The fourth proportional to 470,821, 706,542.54 and 221,522.44 is: 332,430.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,821 : 706,542.54 = 221,522.44 : x
  2. Step 2: Convert to fraction form
    470,821/706,542.54 = 221,522.44/x
  3. Step 3: Cross multiply
    470,821x = 706,542.54 × 221,522.44
  4. Step 4: Simplify right side
    470,821x = 156,515,027,424.60
  5. Step 5: Solve for x
    x = 156,515,027,424.60/470,821
  6. Step 6: Final answer
    x = 332,430.01

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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.