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Finding the Fourth Proportional to 307,159.79, 460,708.54 and 82,491.03

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Solution

The fourth proportional to 307,159.79, 460,708.54 and 82,491.03 is: 123,728.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,159.79 : 460,708.54 = 82,491.03 : x
  2. Step 2: Convert to fraction form
    307,159.79/460,708.54 = 82,491.03/x
  3. Step 3: Cross multiply
    307,159.79x = 460,708.54 × 82,491.03
  4. Step 4: Simplify right side
    307,159.79x = 38,004,321,581.94
  5. Step 5: Solve for x
    x = 38,004,321,581.94/307,159.79
  6. Step 6: Final answer
    x = 123,728.18

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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.