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Finding the Fourth Proportional to 365,143.20, 503,847.76 and 203,978.32

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Solution

The fourth proportional to 365,143.20, 503,847.76 and 203,978.32 is: 281,462.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,143.20 : 503,847.76 = 203,978.32 : x
  2. Step 2: Convert to fraction form
    365,143.20/503,847.76 = 203,978.32/x
  3. Step 3: Cross multiply
    365,143.20x = 503,847.76 × 203,978.32
  4. Step 4: Simplify right side
    365,143.20x = 102,774,019,620.56
  5. Step 5: Solve for x
    x = 102,774,019,620.56/365,143.20
  6. Step 6: Final answer
    x = 281,462.23

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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.