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Finding the Fourth Proportional to 278,311.88, 384,070.53 and 150,987.44

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Solution

The fourth proportional to 278,311.88, 384,070.53 and 150,987.44 is: 208,362.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,311.88 : 384,070.53 = 150,987.44 : x
  2. Step 2: Convert to fraction form
    278,311.88/384,070.53 = 150,987.44/x
  3. Step 3: Cross multiply
    278,311.88x = 384,070.53 × 150,987.44
  4. Step 4: Simplify right side
    278,311.88x = 57,989,826,104.14
  5. Step 5: Solve for x
    x = 57,989,826,104.14/278,311.88
  6. Step 6: Final answer
    x = 208,362.74

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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.