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Finding the Fourth Proportional to 277,700, 416,551.20 and 67,338.32

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Solution

The fourth proportional to 277,700, 416,551.20 and 67,338.32 is: 101,007.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,700 : 416,551.20 = 67,338.32 : x
  2. Step 2: Convert to fraction form
    277,700/416,551.20 = 67,338.32/x
  3. Step 3: Cross multiply
    277,700x = 416,551.20 × 67,338.32
  4. Step 4: Simplify right side
    277,700x = 28,049,858,001.98
  5. Step 5: Solve for x
    x = 28,049,858,001.98/277,700
  6. Step 6: Final answer
    x = 101,007.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.