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Finding the Fourth Proportional to 229,620.80, 343,816.80 and 146,062.40

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Solution

The fourth proportional to 229,620.80, 343,816.80 and 146,062.40 is: 218,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,620.80 : 343,816.80 = 146,062.40 : x
  2. Step 2: Convert to fraction form
    229,620.80/343,816.80 = 146,062.40/x
  3. Step 3: Cross multiply
    229,620.80x = 343,816.80 × 146,062.40
  4. Step 4: Simplify right side
    229,620.80x = 50,218,706,968.32
  5. Step 5: Solve for x
    x = 50,218,706,968.32/229,620.80
  6. Step 6: Final answer
    x = 218,702.78

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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.