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Finding the Fourth Proportional to 317,310.64, 437,856.24 and 189,982.96

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Solution

The fourth proportional to 317,310.64, 437,856.24 and 189,982.96 is: 262,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,310.64 : 437,856.24 = 189,982.96 : x
  2. Step 2: Convert to fraction form
    317,310.64/437,856.24 = 189,982.96/x
  3. Step 3: Cross multiply
    317,310.64x = 437,856.24 × 189,982.96
  4. Step 4: Simplify right side
    317,310.64x = 83,185,224,529.67
  5. Step 5: Solve for x
    x = 83,185,224,529.67/317,310.64
  6. Step 6: Final answer
    x = 262,157.06

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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.