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Finding the Fourth Proportional to 278,686, 384,587.40 and 163,968.94

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Solution

The fourth proportional to 278,686, 384,587.40 and 163,968.94 is: 226,277.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,686 : 384,587.40 = 163,968.94 : x
  2. Step 2: Convert to fraction form
    278,686/384,587.40 = 163,968.94/x
  3. Step 3: Cross multiply
    278,686x = 384,587.40 × 163,968.94
  4. Step 4: Simplify right side
    278,686x = 63,060,388,315.36
  5. Step 5: Solve for x
    x = 63,060,388,315.36/278,686
  6. Step 6: Final answer
    x = 226,277.56

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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.