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Finding the Fourth Proportional to 862,704.80, 1,293,085.20 and 413,640.80

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Solution

The fourth proportional to 862,704.80, 1,293,085.20 and 413,640.80 is: 619,995.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    862,704.80 : 1,293,085.20 = 413,640.80 : x
  2. Step 2: Convert to fraction form
    862,704.80/1,293,085.20 = 413,640.80/x
  3. Step 3: Cross multiply
    862,704.80x = 1,293,085.20 × 413,640.80
  4. Step 4: Simplify right side
    862,704.80x = 534,872,796,596.16
  5. Step 5: Solve for x
    x = 534,872,796,596.16/862,704.80
  6. Step 6: Final answer
    x = 619,995.16

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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.