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Finding the Fourth Proportional to 262,577.16, 393,865.74 and 209,739.24

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Solution

The fourth proportional to 262,577.16, 393,865.74 and 209,739.24 is: 314,608.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,577.16 : 393,865.74 = 209,739.24 : x
  2. Step 2: Convert to fraction form
    262,577.16/393,865.74 = 209,739.24/x
  3. Step 3: Cross multiply
    262,577.16x = 393,865.74 × 209,739.24
  4. Step 4: Simplify right side
    262,577.16x = 82,609,100,969.64
  5. Step 5: Solve for x
    x = 82,609,100,969.64/262,577.16
  6. Step 6: Final answer
    x = 314,608.86

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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.