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Finding the Fourth Proportional to 278,172.72, 383,878.56 and 150,848.28

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Solution

The fourth proportional to 278,172.72, 383,878.56 and 150,848.28 is: 208,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,172.72 : 383,878.56 = 150,848.28 : x
  2. Step 2: Convert to fraction form
    278,172.72/383,878.56 = 150,848.28/x
  3. Step 3: Cross multiply
    278,172.72x = 383,878.56 × 150,848.28
  4. Step 4: Simplify right side
    278,172.72x = 57,907,420,504.88
  5. Step 5: Solve for x
    x = 57,907,420,504.88/278,172.72
  6. Step 6: Final answer
    x = 208,170.74

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1.5x scale

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.