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Finding the Fourth Proportional to 546,940.20, 819,098.10 and 266,129.40

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Solution

The fourth proportional to 546,940.20, 819,098.10 and 266,129.40 is: 398,555.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,940.20 : 819,098.10 = 266,129.40 : x
  2. Step 2: Convert to fraction form
    546,940.20/819,098.10 = 266,129.40/x
  3. Step 3: Cross multiply
    546,940.20x = 819,098.10 × 266,129.40
  4. Step 4: Simplify right side
    546,940.20x = 217,986,085,894.14
  5. Step 5: Solve for x
    x = 217,986,085,894.14/546,940.20
  6. Step 6: Final answer
    x = 398,555.61

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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.