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Finding the Fourth Proportional to 290,073.50, 434,689.65 and 205,998.33

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Solution

The fourth proportional to 290,073.50, 434,689.65 and 205,998.33 is: 308,698.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,073.50 : 434,689.65 = 205,998.33 : x
  2. Step 2: Convert to fraction form
    290,073.50/434,689.65 = 205,998.33/x
  3. Step 3: Cross multiply
    290,073.50x = 434,689.65 × 205,998.33
  4. Step 4: Simplify right side
    290,073.50x = 89,545,341,968.28
  5. Step 5: Solve for x
    x = 89,545,341,968.28/290,073.50
  6. Step 6: Final answer
    x = 308,698.81

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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.