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Finding the Fourth Proportional to 493,540.32, 681,058.08 and 278,724

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Solution

The fourth proportional to 493,540.32, 681,058.08 and 278,724 is: 384,623.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,540.32 : 681,058.08 = 278,724 : x
  2. Step 2: Convert to fraction form
    493,540.32/681,058.08 = 278,724/x
  3. Step 3: Cross multiply
    493,540.32x = 681,058.08 × 278,724
  4. Step 4: Simplify right side
    493,540.32x = 189,827,232,289.92
  5. Step 5: Solve for x
    x = 189,827,232,289.92/493,540.32
  6. Step 6: Final answer
    x = 384,623.55

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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.