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Finding the Fourth Proportional to 309,706.90, 426,943.15 and 218,902.66

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Solution

The fourth proportional to 309,706.90, 426,943.15 and 218,902.66 is: 301,765.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,706.90 : 426,943.15 = 218,902.66 : x
  2. Step 2: Convert to fraction form
    309,706.90/426,943.15 = 218,902.66/x
  3. Step 3: Cross multiply
    309,706.90x = 426,943.15 × 218,902.66
  4. Step 4: Simplify right side
    309,706.90x = 93,458,991,203.78
  5. Step 5: Solve for x
    x = 93,458,991,203.78/309,706.90
  6. Step 6: Final answer
    x = 301,765.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.