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Finding the Fourth Proportional to 323,877.84, 446,720.04 and 280,780.27

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Solution

The fourth proportional to 323,877.84, 446,720.04 and 280,780.27 is: 387,276.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,877.84 : 446,720.04 = 280,780.27 : x
  2. Step 2: Convert to fraction form
    323,877.84/446,720.04 = 280,780.27/x
  3. Step 3: Cross multiply
    323,877.84x = 446,720.04 × 280,780.27
  4. Step 4: Simplify right side
    323,877.84x = 125,430,174,051.92
  5. Step 5: Solve for x
    x = 125,430,174,051.92/323,877.84
  6. Step 6: Final answer
    x = 387,276.18

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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.