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Finding the Fourth Proportional to 278,261.64, 416,832.70 and 210,908.86

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Solution

The fourth proportional to 278,261.64, 416,832.70 and 210,908.86 is: 315,939.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,261.64 : 416,832.70 = 210,908.86 : x
  2. Step 2: Convert to fraction form
    278,261.64/416,832.70 = 210,908.86/x
  3. Step 3: Cross multiply
    278,261.64x = 416,832.70 × 210,908.86
  4. Step 4: Simplify right side
    278,261.64x = 87,913,709,567.72
  5. Step 5: Solve for x
    x = 87,913,709,567.72/278,261.64
  6. Step 6: Final answer
    x = 315,939.02

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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.