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Finding the Fourth Proportional to 284,821.96, 426,859.26 and 209,589.88

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Solution

The fourth proportional to 284,821.96, 426,859.26 and 209,589.88 is: 314,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,821.96 : 426,859.26 = 209,589.88 : x
  2. Step 2: Convert to fraction form
    284,821.96/426,859.26 = 209,589.88/x
  3. Step 3: Cross multiply
    284,821.96x = 426,859.26 × 209,589.88
  4. Step 4: Simplify right side
    284,821.96x = 89,465,381,080.29
  5. Step 5: Solve for x
    x = 89,465,381,080.29/284,821.96
  6. Step 6: Final answer
    x = 314,109.84

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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.