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Finding the Fourth Proportional to 298,191.70, 447,134.32 and 87,802.30

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Solution

The fourth proportional to 298,191.70, 447,134.32 and 87,802.30 is: 131,658.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,191.70 : 447,134.32 = 87,802.30 : x
  2. Step 2: Convert to fraction form
    298,191.70/447,134.32 = 87,802.30/x
  3. Step 3: Cross multiply
    298,191.70x = 447,134.32 × 87,802.30
  4. Step 4: Simplify right side
    298,191.70x = 39,259,421,704.94
  5. Step 5: Solve for x
    x = 39,259,421,704.94/298,191.70
  6. Step 6: Final answer
    x = 131,658.33

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1.5x scale

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.