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Finding the Fourth Proportional to 493,211.94, 680,634.81 and 278,361.06

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Solution

The fourth proportional to 493,211.94, 680,634.81 and 278,361.06 is: 384,139.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,211.94 : 680,634.81 = 278,361.06 : x
  2. Step 2: Convert to fraction form
    493,211.94/680,634.81 = 278,361.06/x
  3. Step 3: Cross multiply
    493,211.94x = 680,634.81 × 278,361.06
  4. Step 4: Simplify right side
    493,211.94x = 189,462,227,184.50
  5. Step 5: Solve for x
    x = 189,462,227,184.50/493,211.94
  6. Step 6: Final answer
    x = 384,139.58

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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.