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Finding the Fourth Proportional to 298,146.56, 447,218.56 and 87,784.32

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Solution

The fourth proportional to 298,146.56, 447,218.56 and 87,784.32 is: 131,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,146.56 : 447,218.56 = 87,784.32 : x
  2. Step 2: Convert to fraction form
    298,146.56/447,218.56 = 87,784.32/x
  3. Step 3: Cross multiply
    298,146.56x = 447,218.56 × 87,784.32
  4. Step 4: Simplify right side
    298,146.56x = 39,258,777,180.98
  5. Step 5: Solve for x
    x = 39,258,777,180.98/298,146.56
  6. Step 6: Final answer
    x = 131,676.10

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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.