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Finding the Fourth Proportional to 414,468.80, 621,703.20 and 381,809.60

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Solution

The fourth proportional to 414,468.80, 621,703.20 and 381,809.60 is: 572,714.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,468.80 : 621,703.20 = 381,809.60 : x
  2. Step 2: Convert to fraction form
    414,468.80/621,703.20 = 381,809.60/x
  3. Step 3: Cross multiply
    414,468.80x = 621,703.20 × 381,809.60
  4. Step 4: Simplify right side
    414,468.80x = 237,372,250,110.72
  5. Step 5: Solve for x
    x = 237,372,250,110.72/414,468.80
  6. Step 6: Final answer
    x = 572,714.40

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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.