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Finding the Fourth Proportional to 278,222.80, 384,146.04 and 219,992.80

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Solution

The fourth proportional to 278,222.80, 384,146.04 and 219,992.80 is: 303,747.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,222.80 : 384,146.04 = 219,992.80 : x
  2. Step 2: Convert to fraction form
    278,222.80/384,146.04 = 219,992.80/x
  3. Step 3: Cross multiply
    278,222.80x = 384,146.04 × 219,992.80
  4. Step 4: Simplify right side
    278,222.80x = 84,509,362,948.51
  5. Step 5: Solve for x
    x = 84,509,362,948.51/278,222.80
  6. Step 6: Final answer
    x = 303,747.08

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1.5x scale

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.