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Finding the Fourth Proportional to 298,130.78, 447,199.41 and 87,772.70

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Solution

The fourth proportional to 298,130.78, 447,199.41 and 87,772.70 is: 131,660.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,130.78 : 447,199.41 = 87,772.70 : x
  2. Step 2: Convert to fraction form
    298,130.78/447,199.41 = 87,772.70/x
  3. Step 3: Cross multiply
    298,130.78x = 447,199.41 × 87,772.70
  4. Step 4: Simplify right side
    298,130.78x = 39,251,899,654.11
  5. Step 5: Solve for x
    x = 39,251,899,654.11/298,130.78
  6. Step 6: Final answer
    x = 131,660.00

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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.