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Finding the Fourth Proportional to 428,513.79, 642,217.09 and 203,943.06

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Solution

The fourth proportional to 428,513.79, 642,217.09 and 203,943.06 is: 305,651.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,513.79 : 642,217.09 = 203,943.06 : x
  2. Step 2: Convert to fraction form
    428,513.79/642,217.09 = 203,943.06/x
  3. Step 3: Cross multiply
    428,513.79x = 642,217.09 × 203,943.06
  4. Step 4: Simplify right side
    428,513.79x = 130,975,718,518.90
  5. Step 5: Solve for x
    x = 130,975,718,518.90/428,513.79
  6. Step 6: Final answer
    x = 305,651.12

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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.