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Finding the Fourth Proportional to 262,223.65, 361,775.32 and 154,739.89

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Solution

The fourth proportional to 262,223.65, 361,775.32 and 154,739.89 is: 213,485.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,223.65 : 361,775.32 = 154,739.89 : x
  2. Step 2: Convert to fraction form
    262,223.65/361,775.32 = 154,739.89/x
  3. Step 3: Cross multiply
    262,223.65x = 361,775.32 × 154,739.89
  4. Step 4: Simplify right side
    262,223.65x = 55,981,073,221.51
  5. Step 5: Solve for x
    x = 55,981,073,221.51/262,223.65
  6. Step 6: Final answer
    x = 213,485.98

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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.