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Finding the Fourth Proportional to 298,188.86, 447,047.96 and 148,347.36

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Solution

The fourth proportional to 298,188.86, 447,047.96 and 148,347.36 is: 222,403.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,188.86 : 447,047.96 = 148,347.36 : x
  2. Step 2: Convert to fraction form
    298,188.86/447,047.96 = 148,347.36/x
  3. Step 3: Cross multiply
    298,188.86x = 447,047.96 × 148,347.36
  4. Step 4: Simplify right side
    298,188.86x = 66,318,384,659.39
  5. Step 5: Solve for x
    x = 66,318,384,659.39/298,188.86
  6. Step 6: Final answer
    x = 222,403.96

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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.