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Finding the Fourth Proportional to 221,550.83, 304,970.46 and 193,207.31

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Solution

The fourth proportional to 221,550.83, 304,970.46 and 193,207.31 is: 265,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,550.83 : 304,970.46 = 193,207.31 : x
  2. Step 2: Convert to fraction form
    221,550.83/304,970.46 = 193,207.31/x
  3. Step 3: Cross multiply
    221,550.83x = 304,970.46 × 193,207.31
  4. Step 4: Simplify right side
    221,550.83x = 58,922,521,926.65
  5. Step 5: Solve for x
    x = 58,922,521,926.65/221,550.83
  6. Step 6: Final answer
    x = 265,954.87

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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.