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Finding the Fourth Proportional to 787,328.56, 1,181,019.30 and 254,854

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Solution

The fourth proportional to 787,328.56, 1,181,019.30 and 254,854 is: 382,289.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,328.56 : 1,181,019.30 = 254,854 : x
  2. Step 2: Convert to fraction form
    787,328.56/1,181,019.30 = 254,854/x
  3. Step 3: Cross multiply
    787,328.56x = 1,181,019.30 × 254,854
  4. Step 4: Simplify right side
    787,328.56x = 300,987,492,682.20
  5. Step 5: Solve for x
    x = 300,987,492,682.20/787,328.56
  6. Step 6: Final answer
    x = 382,289.56

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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.