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Finding the Fourth Proportional to 280,090.15, 419,919.88 and 145,009.42

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Solution

The fourth proportional to 280,090.15, 419,919.88 and 145,009.42 is: 217,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,090.15 : 419,919.88 = 145,009.42 : x
  2. Step 2: Convert to fraction form
    280,090.15/419,919.88 = 145,009.42/x
  3. Step 3: Cross multiply
    280,090.15x = 419,919.88 × 145,009.42
  4. Step 4: Simplify right side
    280,090.15x = 60,892,338,245.27
  5. Step 5: Solve for x
    x = 60,892,338,245.27/280,090.15
  6. Step 6: Final answer
    x = 217,402.64

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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.