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Finding the Fourth Proportional to 323,784, 446,821.92 and 189,648

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Solution

The fourth proportional to 323,784, 446,821.92 and 189,648 is: 261,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,784 : 446,821.92 = 189,648 : x
  2. Step 2: Convert to fraction form
    323,784/446,821.92 = 189,648/x
  3. Step 3: Cross multiply
    323,784x = 446,821.92 × 189,648
  4. Step 4: Simplify right side
    323,784x = 84,738,883,484.16
  5. Step 5: Solve for x
    x = 84,738,883,484.16/323,784
  6. Step 6: Final answer
    x = 261,714.24

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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.