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Finding the Fourth Proportional to 280,689.80, 387,523.53 and 182,666.43

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Solution

The fourth proportional to 280,689.80, 387,523.53 and 182,666.43 is: 252,191.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,689.80 : 387,523.53 = 182,666.43 : x
  2. Step 2: Convert to fraction form
    280,689.80/387,523.53 = 182,666.43/x
  3. Step 3: Cross multiply
    280,689.80x = 387,523.53 × 182,666.43
  4. Step 4: Simplify right side
    280,689.80x = 70,787,539,766.10
  5. Step 5: Solve for x
    x = 70,787,539,766.10/280,689.80
  6. Step 6: Final answer
    x = 252,191.36

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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.