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Finding the Fourth Proportional to 320,284.20, 480,023.10 and 162,556.20

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Solution

The fourth proportional to 320,284.20, 480,023.10 and 162,556.20 is: 243,629.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,284.20 : 480,023.10 = 162,556.20 : x
  2. Step 2: Convert to fraction form
    320,284.20/480,023.10 = 162,556.20/x
  3. Step 3: Cross multiply
    320,284.20x = 480,023.10 × 162,556.20
  4. Step 4: Simplify right side
    320,284.20x = 78,030,731,048.22
  5. Step 5: Solve for x
    x = 78,030,731,048.22/320,284.20
  6. Step 6: Final answer
    x = 243,629.66

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1.5x scale

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.