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Finding the Fourth Proportional to 343,912.80, 515,869.20 and 284,815.20

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Solution

The fourth proportional to 343,912.80, 515,869.20 and 284,815.20 is: 427,222.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,912.80 : 515,869.20 = 284,815.20 : x
  2. Step 2: Convert to fraction form
    343,912.80/515,869.20 = 284,815.20/x
  3. Step 3: Cross multiply
    343,912.80x = 515,869.20 × 284,815.20
  4. Step 4: Simplify right side
    343,912.80x = 146,927,389,371.84
  5. Step 5: Solve for x
    x = 146,927,389,371.84/343,912.80
  6. Step 6: Final answer
    x = 427,222.80

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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.