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Finding the Fourth Proportional to 428,095.26, 642,149.24 and 203,478.80

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Solution

The fourth proportional to 428,095.26, 642,149.24 and 203,478.80 is: 305,221.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,095.26 : 642,149.24 = 203,478.80 : x
  2. Step 2: Convert to fraction form
    428,095.26/642,149.24 = 203,478.80/x
  3. Step 3: Cross multiply
    428,095.26x = 642,149.24 × 203,478.80
  4. Step 4: Simplify right side
    428,095.26x = 130,663,752,547.97
  5. Step 5: Solve for x
    x = 130,663,752,547.97/428,095.26
  6. Step 6: Final answer
    x = 305,221.21

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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.