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Finding the Fourth Proportional to 300,390.64, 414,543.36 and 166,254.64

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Solution

The fourth proportional to 300,390.64, 414,543.36 and 166,254.64 is: 229,433.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,390.64 : 414,543.36 = 166,254.64 : x
  2. Step 2: Convert to fraction form
    300,390.64/414,543.36 = 166,254.64/x
  3. Step 3: Cross multiply
    300,390.64x = 414,543.36 × 166,254.64
  4. Step 4: Simplify right side
    300,390.64x = 68,919,757,081.19
  5. Step 5: Solve for x
    x = 68,919,757,081.19/300,390.64
  6. Step 6: Final answer
    x = 229,433.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.