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Finding the Fourth Proportional to 331,679.82, 457,783.47 and 231,019.50

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Solution

The fourth proportional to 331,679.82, 457,783.47 and 231,019.50 is: 318,852.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,679.82 : 457,783.47 = 231,019.50 : x
  2. Step 2: Convert to fraction form
    331,679.82/457,783.47 = 231,019.50/x
  3. Step 3: Cross multiply
    331,679.82x = 457,783.47 × 231,019.50
  4. Step 4: Simplify right side
    331,679.82x = 105,756,908,347.67
  5. Step 5: Solve for x
    x = 105,756,908,347.67/331,679.82
  6. Step 6: Final answer
    x = 318,852.41

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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.