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Finding the Fourth Proportional to 229,612.80, 343,804.80 and 146,054.40

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Solution

The fourth proportional to 229,612.80, 343,804.80 and 146,054.40 is: 218,690.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,612.80 : 343,804.80 = 146,054.40 : x
  2. Step 2: Convert to fraction form
    229,612.80/343,804.80 = 146,054.40/x
  3. Step 3: Cross multiply
    229,612.80x = 343,804.80 × 146,054.40
  4. Step 4: Simplify right side
    229,612.80x = 50,214,203,781.12
  5. Step 5: Solve for x
    x = 50,214,203,781.12/229,612.80
  6. Step 6: Final answer
    x = 218,690.79

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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.