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Finding the Fourth Proportional to 331,757.55, 457,811.85 and 186,559.21

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Solution

The fourth proportional to 331,757.55, 457,811.85 and 186,559.21 is: 257,444.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,757.55 : 457,811.85 = 186,559.21 : x
  2. Step 2: Convert to fraction form
    331,757.55/457,811.85 = 186,559.21/x
  3. Step 3: Cross multiply
    331,757.55x = 457,811.85 × 186,559.21
  4. Step 4: Simplify right side
    331,757.55x = 85,409,017,064.64
  5. Step 5: Solve for x
    x = 85,409,017,064.64/331,757.55
  6. Step 6: Final answer
    x = 257,444.08

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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.