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Finding the Fourth Proportional to 214,644.60, 321,707.70 and 109,409.40

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Solution

The fourth proportional to 214,644.60, 321,707.70 and 109,409.40 is: 163,981.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,644.60 : 321,707.70 = 109,409.40 : x
  2. Step 2: Convert to fraction form
    214,644.60/321,707.70 = 109,409.40/x
  3. Step 3: Cross multiply
    214,644.60x = 321,707.70 × 109,409.40
  4. Step 4: Simplify right side
    214,644.60x = 35,197,846,432.38
  5. Step 5: Solve for x
    x = 35,197,846,432.38/214,644.60
  6. Step 6: Final answer
    x = 163,981.98

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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.