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Finding the Fourth Proportional to 298,595.92, 412,091.40 and 223,013.20

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Solution

The fourth proportional to 298,595.92, 412,091.40 and 223,013.20 is: 307,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,595.92 : 412,091.40 = 223,013.20 : x
  2. Step 2: Convert to fraction form
    298,595.92/412,091.40 = 223,013.20/x
  3. Step 3: Cross multiply
    298,595.92x = 412,091.40 × 223,013.20
  4. Step 4: Simplify right side
    298,595.92x = 91,901,821,806.48
  5. Step 5: Solve for x
    x = 91,901,821,806.48/298,595.92
  6. Step 6: Final answer
    x = 307,779.90

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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.