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Finding the Fourth Proportional to 305,689.77, 421,842.69 and 167,868.45

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Solution

The fourth proportional to 305,689.77, 421,842.69 and 167,868.45 is: 231,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,689.77 : 421,842.69 = 167,868.45 : x
  2. Step 2: Convert to fraction form
    305,689.77/421,842.69 = 167,868.45/x
  3. Step 3: Cross multiply
    305,689.77x = 421,842.69 × 167,868.45
  4. Step 4: Simplify right side
    305,689.77x = 70,814,078,514.13
  5. Step 5: Solve for x
    x = 70,814,078,514.13/305,689.77
  6. Step 6: Final answer
    x = 231,653.41

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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.