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Finding the Fourth Proportional to 306,669.86, 422,294.43 and 220,477.15

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Solution

The fourth proportional to 306,669.86, 422,294.43 and 220,477.15 is: 303,604.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,669.86 : 422,294.43 = 220,477.15 : x
  2. Step 2: Convert to fraction form
    306,669.86/422,294.43 = 220,477.15/x
  3. Step 3: Cross multiply
    306,669.86x = 422,294.43 × 220,477.15
  4. Step 4: Simplify right side
    306,669.86x = 93,106,272,387.27
  5. Step 5: Solve for x
    x = 93,106,272,387.27/306,669.86
  6. Step 6: Final answer
    x = 303,604.25

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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.