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Finding the Fourth Proportional to 545,845.60, 819,382.80 and 421,736.80

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Solution

The fourth proportional to 545,845.60, 819,382.80 and 421,736.80 is: 633,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,845.60 : 819,382.80 = 421,736.80 : x
  2. Step 2: Convert to fraction form
    545,845.60/819,382.80 = 421,736.80/x
  3. Step 3: Cross multiply
    545,845.60x = 819,382.80 × 421,736.80
  4. Step 4: Simplify right side
    545,845.60x = 345,563,880,047.04
  5. Step 5: Solve for x
    x = 345,563,880,047.04/545,845.60
  6. Step 6: Final answer
    x = 633,079.90

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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.