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Finding the Fourth Proportional to 309,502.85, 464,243.31 and 84,859.67

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Solution

The fourth proportional to 309,502.85, 464,243.31 and 84,859.67 is: 127,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,502.85 : 464,243.31 = 84,859.67 : x
  2. Step 2: Convert to fraction form
    309,502.85/464,243.31 = 84,859.67/x
  3. Step 3: Cross multiply
    309,502.85x = 464,243.31 × 84,859.67
  4. Step 4: Simplify right side
    309,502.85x = 39,395,535,246.92
  5. Step 5: Solve for x
    x = 39,395,535,246.92/309,502.85
  6. Step 6: Final answer
    x = 127,286.50

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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.