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Finding the Fourth Proportional to 320,284.70, 480,023.85 and 162,556.70

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Solution

The fourth proportional to 320,284.70, 480,023.85 and 162,556.70 is: 243,630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,284.70 : 480,023.85 = 162,556.70 : x
  2. Step 2: Convert to fraction form
    320,284.70/480,023.85 = 162,556.70/x
  3. Step 3: Cross multiply
    320,284.70x = 480,023.85 × 162,556.70
  4. Step 4: Simplify right side
    320,284.70x = 78,031,092,977.30
  5. Step 5: Solve for x
    x = 78,031,092,977.30/320,284.70
  6. Step 6: Final answer
    x = 243,630.41

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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.