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Finding the Fourth Proportional to 323,886.34, 446,731.77 and 280,788.79

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Solution

The fourth proportional to 323,886.34, 446,731.77 and 280,788.79 is: 387,287.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,886.34 : 446,731.77 = 280,788.79 : x
  2. Step 2: Convert to fraction form
    323,886.34/446,731.77 = 280,788.79/x
  3. Step 3: Cross multiply
    323,886.34x = 446,731.77 × 280,788.79
  4. Step 4: Simplify right side
    323,886.34x = 125,437,273,152.86
  5. Step 5: Solve for x
    x = 125,437,273,152.86/323,886.34
  6. Step 6: Final answer
    x = 387,287.94

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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.