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Finding the Fourth Proportional to 309,726.40, 465,626.40 and 264,107.20

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Solution

The fourth proportional to 309,726.40, 465,626.40 and 264,107.20 is: 397,044.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,726.40 : 465,626.40 = 264,107.20 : x
  2. Step 2: Convert to fraction form
    309,726.40/465,626.40 = 264,107.20/x
  3. Step 3: Cross multiply
    309,726.40x = 465,626.40 × 264,107.20
  4. Step 4: Simplify right side
    309,726.40x = 122,975,284,750.08
  5. Step 5: Solve for x
    x = 122,975,284,750.08/309,726.40
  6. Step 6: Final answer
    x = 397,044.89

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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.