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Finding the Fourth Proportional to 262,457.42, 393,589.53 and 206,407.04

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Solution

The fourth proportional to 262,457.42, 393,589.53 and 206,407.04 is: 309,534.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,457.42 : 393,589.53 = 206,407.04 : x
  2. Step 2: Convert to fraction form
    262,457.42/393,589.53 = 206,407.04/x
  3. Step 3: Cross multiply
    262,457.42x = 393,589.53 × 206,407.04
  4. Step 4: Simplify right side
    262,457.42x = 81,239,647,894.34
  5. Step 5: Solve for x
    x = 81,239,647,894.34/262,457.42
  6. Step 6: Final answer
    x = 309,534.59

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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.