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Finding the Fourth Proportional to 460,609.68, 690,390.40 and 280,297.42

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Solution

The fourth proportional to 460,609.68, 690,390.40 and 280,297.42 is: 420,127.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,609.68 : 690,390.40 = 280,297.42 : x
  2. Step 2: Convert to fraction form
    460,609.68/690,390.40 = 280,297.42/x
  3. Step 3: Cross multiply
    460,609.68x = 690,390.40 × 280,297.42
  4. Step 4: Simplify right side
    460,609.68x = 193,514,647,912.77
  5. Step 5: Solve for x
    x = 193,514,647,912.77/460,609.68
  6. Step 6: Final answer
    x = 420,127.18

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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.