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Finding the Fourth Proportional to 428,214.92, 642,720.90 and 218,010.20

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Solution

The fourth proportional to 428,214.92, 642,720.90 and 218,010.20 is: 327,218.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,214.92 : 642,720.90 = 218,010.20 : x
  2. Step 2: Convert to fraction form
    428,214.92/642,720.90 = 218,010.20/x
  3. Step 3: Cross multiply
    428,214.92x = 642,720.90 × 218,010.20
  4. Step 4: Simplify right side
    428,214.92x = 140,119,711,953.18
  5. Step 5: Solve for x
    x = 140,119,711,953.18/428,214.92
  6. Step 6: Final answer
    x = 327,218.19

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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.