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Finding the Fourth Proportional to 331,650.84, 457,690.44 and 188,435.16

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Solution

The fourth proportional to 331,650.84, 457,690.44 and 188,435.16 is: 260,047.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,650.84 : 457,690.44 = 188,435.16 : x
  2. Step 2: Convert to fraction form
    331,650.84/457,690.44 = 188,435.16/x
  3. Step 3: Cross multiply
    331,650.84x = 457,690.44 × 188,435.16
  4. Step 4: Simplify right side
    331,650.84x = 86,244,971,291.87
  5. Step 5: Solve for x
    x = 86,244,971,291.87/331,650.84
  6. Step 6: Final answer
    x = 260,047.50

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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.