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Finding the Fourth Proportional to 277,133.76, 382,441.76 and 154,627.20

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Solution

The fourth proportional to 277,133.76, 382,441.76 and 154,627.20 is: 213,383.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,133.76 : 382,441.76 = 154,627.20 : x
  2. Step 2: Convert to fraction form
    277,133.76/382,441.76 = 154,627.20/x
  3. Step 3: Cross multiply
    277,133.76x = 382,441.76 × 154,627.20
  4. Step 4: Simplify right side
    277,133.76x = 59,135,898,511.87
  5. Step 5: Solve for x
    x = 59,135,898,511.87/277,133.76
  6. Step 6: Final answer
    x = 213,383.96

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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.