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Finding the Fourth Proportional to 331,811, 457,910.70 and 188,577.08

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Solution

The fourth proportional to 331,811, 457,910.70 and 188,577.08 is: 260,242.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,811 : 457,910.70 = 188,577.08 : x
  2. Step 2: Convert to fraction form
    331,811/457,910.70 = 188,577.08/x
  3. Step 3: Cross multiply
    331,811x = 457,910.70 × 188,577.08
  4. Step 4: Simplify right side
    331,811x = 86,351,462,706.76
  5. Step 5: Solve for x
    x = 86,351,462,706.76/331,811
  6. Step 6: Final answer
    x = 260,242.92

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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.