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Finding the Fourth Proportional to 307,159.88, 460,708.68 and 82,491.12

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Solution

The fourth proportional to 307,159.88, 460,708.68 and 82,491.12 is: 123,728.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,159.88 : 460,708.68 = 82,491.12 : x
  2. Step 2: Convert to fraction form
    307,159.88/460,708.68 = 82,491.12/x
  3. Step 3: Cross multiply
    307,159.88x = 460,708.68 × 82,491.12
  4. Step 4: Simplify right side
    307,159.88x = 38,004,373,556.51
  5. Step 5: Solve for x
    x = 38,004,373,556.51/307,159.88
  6. Step 6: Final answer
    x = 123,728.31

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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.