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Finding the Fourth Proportional to 298,402.85, 447,671.75 and 98,722.80

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Solution

The fourth proportional to 298,402.85, 447,671.75 and 98,722.80 is: 148,106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,402.85 : 447,671.75 = 98,722.80 : x
  2. Step 2: Convert to fraction form
    298,402.85/447,671.75 = 98,722.80/x
  3. Step 3: Cross multiply
    298,402.85x = 447,671.75 × 98,722.80
  4. Step 4: Simplify right side
    298,402.85x = 44,195,408,147.29
  5. Step 5: Solve for x
    x = 44,195,408,147.29/298,402.85
  6. Step 6: Final answer
    x = 148,106.52

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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.