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Finding the Fourth Proportional to 414,616.32, 621,820.80 and 119,128.32

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Solution

The fourth proportional to 414,616.32, 621,820.80 and 119,128.32 is: 178,662.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,616.32 : 621,820.80 = 119,128.32 : x
  2. Step 2: Convert to fraction form
    414,616.32/621,820.80 = 119,128.32/x
  3. Step 3: Cross multiply
    414,616.32x = 621,820.80 × 119,128.32
  4. Step 4: Simplify right side
    414,616.32x = 74,076,467,245.06
  5. Step 5: Solve for x
    x = 74,076,467,245.06/414,616.32
  6. Step 6: Final answer
    x = 178,662.69

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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.