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Finding the Fourth Proportional to 298,530.96, 447,971.40 and 214,200.24

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Solution

The fourth proportional to 298,530.96, 447,971.40 and 214,200.24 is: 321,425.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,530.96 : 447,971.40 = 214,200.24 : x
  2. Step 2: Convert to fraction form
    298,530.96/447,971.40 = 214,200.24/x
  3. Step 3: Cross multiply
    298,530.96x = 447,971.40 × 214,200.24
  4. Step 4: Simplify right side
    298,530.96x = 95,955,581,393.14
  5. Step 5: Solve for x
    x = 95,955,581,393.14/298,530.96
  6. Step 6: Final answer
    x = 321,425.90

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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.