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Finding the Fourth Proportional to 393,458.24, 590,213.40 and 112,977.92

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Solution

The fourth proportional to 393,458.24, 590,213.40 and 112,977.92 is: 169,474.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,458.24 : 590,213.40 = 112,977.92 : x
  2. Step 2: Convert to fraction form
    393,458.24/590,213.40 = 112,977.92/x
  3. Step 3: Cross multiply
    393,458.24x = 590,213.40 × 112,977.92
  4. Step 4: Simplify right side
    393,458.24x = 66,681,082,288.13
  5. Step 5: Solve for x
    x = 66,681,082,288.13/393,458.24
  6. Step 6: Final answer
    x = 169,474.36

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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.