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Finding the Fourth Proportional to 298,594.92, 412,090.02 and 223,012.20

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Solution

The fourth proportional to 298,594.92, 412,090.02 and 223,012.20 is: 307,778.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,594.92 : 412,090.02 = 223,012.20 : x
  2. Step 2: Convert to fraction form
    298,594.92/412,090.02 = 223,012.20/x
  3. Step 3: Cross multiply
    298,594.92x = 412,090.02 × 223,012.20
  4. Step 4: Simplify right side
    298,594.92x = 91,901,101,958.24
  5. Step 5: Solve for x
    x = 91,901,101,958.24/298,594.92
  6. Step 6: Final answer
    x = 307,778.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.