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Finding the Fourth Proportional to 298,349.76, 447,455.04 and 191,410.56

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Solution

The fourth proportional to 298,349.76, 447,455.04 and 191,410.56 is: 287,071.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,349.76 : 447,455.04 = 191,410.56 : x
  2. Step 2: Convert to fraction form
    298,349.76/447,455.04 = 191,410.56/x
  3. Step 3: Cross multiply
    298,349.76x = 447,455.04 × 191,410.56
  4. Step 4: Simplify right side
    298,349.76x = 85,647,619,781.22
  5. Step 5: Solve for x
    x = 85,647,619,781.22/298,349.76
  6. Step 6: Final answer
    x = 287,071.19

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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.