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Finding the Fourth Proportional to 277,137.76, 382,447.28 and 154,631.20

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Solution

The fourth proportional to 277,137.76, 382,447.28 and 154,631.20 is: 213,389.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,137.76 : 382,447.28 = 154,631.20 : x
  2. Step 2: Convert to fraction form
    277,137.76/382,447.28 = 154,631.20/x
  3. Step 3: Cross multiply
    277,137.76x = 382,447.28 × 154,631.20
  4. Step 4: Simplify right side
    277,137.76x = 59,138,281,843.14
  5. Step 5: Solve for x
    x = 59,138,281,843.14/277,137.76
  6. Step 6: Final answer
    x = 213,389.48

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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.