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Finding the Fourth Proportional to 277,638.36, 416,458.62 and 67,275.96

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Solution

The fourth proportional to 277,638.36, 416,458.62 and 67,275.96 is: 100,914.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,638.36 : 416,458.62 = 67,275.96 : x
  2. Step 2: Convert to fraction form
    277,638.36/416,458.62 = 67,275.96/x
  3. Step 3: Cross multiply
    277,638.36x = 416,458.62 × 67,275.96
  4. Step 4: Simplify right side
    277,638.36x = 28,017,653,460.78
  5. Step 5: Solve for x
    x = 28,017,653,460.78/277,638.36
  6. Step 6: Final answer
    x = 100,914.20

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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.