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Finding the Fourth Proportional to 298,402.50, 447,671.42 and 98,722.56

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Solution

The fourth proportional to 298,402.50, 447,671.42 and 98,722.56 is: 148,106.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,402.50 : 447,671.42 = 98,722.56 : x
  2. Step 2: Convert to fraction form
    298,402.50/447,671.42 = 98,722.56/x
  3. Step 3: Cross multiply
    298,402.50x = 447,671.42 × 98,722.56
  4. Step 4: Simplify right side
    298,402.50x = 44,195,268,127.62
  5. Step 5: Solve for x
    x = 44,195,268,127.62/298,402.50
  6. Step 6: Final answer
    x = 148,106.23

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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.