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Finding the Fourth Proportional to 298,086.80, 447,130.49 and 120,595.32

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Solution

The fourth proportional to 298,086.80, 447,130.49 and 120,595.32 is: 180,893.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,086.80 : 447,130.49 = 120,595.32 : x
  2. Step 2: Convert to fraction form
    298,086.80/447,130.49 = 120,595.32/x
  3. Step 3: Cross multiply
    298,086.80x = 447,130.49 × 120,595.32
  4. Step 4: Simplify right side
    298,086.80x = 53,921,843,920.33
  5. Step 5: Solve for x
    x = 53,921,843,920.33/298,086.80
  6. Step 6: Final answer
    x = 180,893.10

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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.