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Finding the Fourth Proportional to 680,681.26, 1,020,792.12 and 254,128.78

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Solution

The fourth proportional to 680,681.26, 1,020,792.12 and 254,128.78 is: 381,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,681.26 : 1,020,792.12 = 254,128.78 : x
  2. Step 2: Convert to fraction form
    680,681.26/1,020,792.12 = 254,128.78/x
  3. Step 3: Cross multiply
    680,681.26x = 1,020,792.12 × 254,128.78
  4. Step 4: Simplify right side
    680,681.26x = 259,412,656,089.21
  5. Step 5: Solve for x
    x = 259,412,656,089.21/680,681.26
  6. Step 6: Final answer
    x = 381,107.39

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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.