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Finding the Fourth Proportional to 262,918.80, 394,475.40 and 105,260.40

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Solution

The fourth proportional to 262,918.80, 394,475.40 and 105,260.40 is: 157,929.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,918.80 : 394,475.40 = 105,260.40 : x
  2. Step 2: Convert to fraction form
    262,918.80/394,475.40 = 105,260.40/x
  3. Step 3: Cross multiply
    262,918.80x = 394,475.40 × 105,260.40
  4. Step 4: Simplify right side
    262,918.80x = 41,522,638,394.16
  5. Step 5: Solve for x
    x = 41,522,638,394.16/262,918.80
  6. Step 6: Final answer
    x = 157,929.51

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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.