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Finding the Fourth Proportional to 546,021.60, 819,646.80 and 421,912.80

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Solution

The fourth proportional to 546,021.60, 819,646.80 and 421,912.80 is: 633,343.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,021.60 : 819,646.80 = 421,912.80 : x
  2. Step 2: Convert to fraction form
    546,021.60/819,646.80 = 421,912.80/x
  3. Step 3: Cross multiply
    546,021.60x = 819,646.80 × 421,912.80
  4. Step 4: Simplify right side
    546,021.60x = 345,819,476,399.04
  5. Step 5: Solve for x
    x = 345,819,476,399.04/546,021.60
  6. Step 6: Final answer
    x = 633,343.95

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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.