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Finding the Fourth Proportional to 277,245.72, 382,604.63 and 156,363.30

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Solution

The fourth proportional to 277,245.72, 382,604.63 and 156,363.30 is: 215,784.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,245.72 : 382,604.63 = 156,363.30 : x
  2. Step 2: Convert to fraction form
    277,245.72/382,604.63 = 156,363.30/x
  3. Step 3: Cross multiply
    277,245.72x = 382,604.63 × 156,363.30
  4. Step 4: Simplify right side
    277,245.72x = 59,825,321,760.26
  5. Step 5: Solve for x
    x = 59,825,321,760.26/277,245.72
  6. Step 6: Final answer
    x = 215,784.47

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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.