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Finding the Fourth Proportional to 298,190.70, 447,132.83 and 87,801.30

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Solution

The fourth proportional to 298,190.70, 447,132.83 and 87,801.30 is: 131,656.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,190.70 : 447,132.83 = 87,801.30 : x
  2. Step 2: Convert to fraction form
    298,190.70/447,132.83 = 87,801.30/x
  3. Step 3: Cross multiply
    298,190.70x = 447,132.83 × 87,801.30
  4. Step 4: Simplify right side
    298,190.70x = 39,258,843,307.67
  5. Step 5: Solve for x
    x = 39,258,843,307.67/298,190.70
  6. Step 6: Final answer
    x = 131,656.83

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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.