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Finding the Fourth Proportional to 335,708.40, 463,375.41 and 219,438.78

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Solution

The fourth proportional to 335,708.40, 463,375.41 and 219,438.78 is: 302,889.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,708.40 : 463,375.41 = 219,438.78 : x
  2. Step 2: Convert to fraction form
    335,708.40/463,375.41 = 219,438.78/x
  3. Step 3: Cross multiply
    335,708.40x = 463,375.41 × 219,438.78
  4. Step 4: Simplify right side
    335,708.40x = 101,682,534,652.40
  5. Step 5: Solve for x
    x = 101,682,534,652.40/335,708.40
  6. Step 6: Final answer
    x = 302,889.46

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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.