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Finding the Fourth Proportional to 279,854.42, 385,894.19 and 189,052.81

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Solution

The fourth proportional to 279,854.42, 385,894.19 and 189,052.81 is: 260,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,854.42 : 385,894.19 = 189,052.81 : x
  2. Step 2: Convert to fraction form
    279,854.42/385,894.19 = 189,052.81/x
  3. Step 3: Cross multiply
    279,854.42x = 385,894.19 × 189,052.81
  4. Step 4: Simplify right side
    279,854.42x = 72,954,378,107.44
  5. Step 5: Solve for x
    x = 72,954,378,107.44/279,854.42
  6. Step 6: Final answer
    x = 260,686.89

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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.