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Finding the Fourth Proportional to 397,538.40, 596,768.40 and 239,944.80

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Solution

The fourth proportional to 397,538.40, 596,768.40 and 239,944.80 is: 360,195.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,538.40 : 596,768.40 = 239,944.80 : x
  2. Step 2: Convert to fraction form
    397,538.40/596,768.40 = 239,944.80/x
  3. Step 3: Cross multiply
    397,538.40x = 596,768.40 × 239,944.80
  4. Step 4: Simplify right side
    397,538.40x = 143,191,474,384.32
  5. Step 5: Solve for x
    x = 143,191,474,384.32/397,538.40
  6. Step 6: Final answer
    x = 360,195.33

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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.