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Finding the Fourth Proportional to 281,948.64, 389,119.68 and 180,067.68

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Solution

The fourth proportional to 281,948.64, 389,119.68 and 180,067.68 is: 248,512.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,948.64 : 389,119.68 = 180,067.68 : x
  2. Step 2: Convert to fraction form
    281,948.64/389,119.68 = 180,067.68/x
  3. Step 3: Cross multiply
    281,948.64x = 389,119.68 × 180,067.68
  4. Step 4: Simplify right side
    281,948.64x = 70,067,878,019.94
  5. Step 5: Solve for x
    x = 70,067,878,019.94/281,948.64
  6. Step 6: Final answer
    x = 248,512.91

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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.