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Finding the Fourth Proportional to 298,659.96, 447,981.75 and 130,180.18

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Solution

The fourth proportional to 298,659.96, 447,981.75 and 130,180.18 is: 195,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,659.96 : 447,981.75 = 130,180.18 : x
  2. Step 2: Convert to fraction form
    298,659.96/447,981.75 = 130,180.18/x
  3. Step 3: Cross multiply
    298,659.96x = 447,981.75 × 130,180.18
  4. Step 4: Simplify right side
    298,659.96x = 58,318,344,851.72
  5. Step 5: Solve for x
    x = 58,318,344,851.72/298,659.96
  6. Step 6: Final answer
    x = 195,266.70

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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.