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Finding the Fourth Proportional to 307,319.29, 460,868.22 and 129,840.14

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Solution

The fourth proportional to 307,319.29, 460,868.22 and 129,840.14 is: 194,713.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,319.29 : 460,868.22 = 129,840.14 : x
  2. Step 2: Convert to fraction form
    307,319.29/460,868.22 = 129,840.14/x
  3. Step 3: Cross multiply
    307,319.29x = 460,868.22 × 129,840.14
  4. Step 4: Simplify right side
    307,319.29x = 59,839,193,879.74
  5. Step 5: Solve for x
    x = 59,839,193,879.74/307,319.29
  6. Step 6: Final answer
    x = 194,713.43

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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.