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Finding the Fourth Proportional to 298,518.90, 447,793.72 and 85,269.98

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Solution

The fourth proportional to 298,518.90, 447,793.72 and 85,269.98 is: 127,909.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,518.90 : 447,793.72 = 85,269.98 : x
  2. Step 2: Convert to fraction form
    298,518.90/447,793.72 = 85,269.98/x
  3. Step 3: Cross multiply
    298,518.90x = 447,793.72 × 85,269.98
  4. Step 4: Simplify right side
    298,518.90x = 38,183,361,548.53
  5. Step 5: Solve for x
    x = 38,183,361,548.53/298,518.90
  6. Step 6: Final answer
    x = 127,909.36

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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.