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Finding the Fourth Proportional to 546,400.26, 819,039.06 and 209,349.54

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Solution

The fourth proportional to 546,400.26, 819,039.06 and 209,349.54 is: 313,809.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,400.26 : 819,039.06 = 209,349.54 : x
  2. Step 2: Convert to fraction form
    546,400.26/819,039.06 = 209,349.54/x
  3. Step 3: Cross multiply
    546,400.26x = 819,039.06 × 209,349.54
  4. Step 4: Simplify right side
    546,400.26x = 171,465,450,453.03
  5. Step 5: Solve for x
    x = 171,465,450,453.03/546,400.26
  6. Step 6: Final answer
    x = 313,809.24

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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.