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Finding the Fourth Proportional to 305,590, 421,669.26 and 169,624.98

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Solution

The fourth proportional to 305,590, 421,669.26 and 169,624.98 is: 234,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,590 : 421,669.26 = 169,624.98 : x
  2. Step 2: Convert to fraction form
    305,590/421,669.26 = 169,624.98/x
  3. Step 3: Cross multiply
    305,590x = 421,669.26 × 169,624.98
  4. Step 4: Simplify right side
    305,590x = 71,525,639,794.11
  5. Step 5: Solve for x
    x = 71,525,639,794.11/305,590
  6. Step 6: Final answer
    x = 234,057.53

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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.