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Finding the Fourth Proportional to 278,703.21, 384,544.53 and 163,986.87

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Solution

The fourth proportional to 278,703.21, 384,544.53 and 163,986.87 is: 226,263.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,703.21 : 384,544.53 = 163,986.87 : x
  2. Step 2: Convert to fraction form
    278,703.21/384,544.53 = 163,986.87/x
  3. Step 3: Cross multiply
    278,703.21x = 384,544.53 × 163,986.87
  4. Step 4: Simplify right side
    278,703.21x = 63,060,253,850.32
  5. Step 5: Solve for x
    x = 63,060,253,850.32/278,703.21
  6. Step 6: Final answer
    x = 226,263.11

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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.