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Finding the Fourth Proportional to 499,409.64, 749,218.14 and 166,977

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Solution

The fourth proportional to 499,409.64, 749,218.14 and 166,977 is: 250,500.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,409.64 : 749,218.14 = 166,977 : x
  2. Step 2: Convert to fraction form
    499,409.64/749,218.14 = 166,977/x
  3. Step 3: Cross multiply
    499,409.64x = 749,218.14 × 166,977
  4. Step 4: Simplify right side
    499,409.64x = 125,102,197,362.78
  5. Step 5: Solve for x
    x = 125,102,197,362.78/499,409.64
  6. Step 6: Final answer
    x = 250,500.17

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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.