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Finding the Fourth Proportional to 305,101.45, 421,207.59 and 208,450.63

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Solution

The fourth proportional to 305,101.45, 421,207.59 and 208,450.63 is: 287,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,101.45 : 421,207.59 = 208,450.63 : x
  2. Step 2: Convert to fraction form
    305,101.45/421,207.59 = 208,450.63/x
  3. Step 3: Cross multiply
    305,101.45x = 421,207.59 × 208,450.63
  4. Step 4: Simplify right side
    305,101.45x = 87,800,988,804.48
  5. Step 5: Solve for x
    x = 87,800,988,804.48/305,101.45
  6. Step 6: Final answer
    x = 287,776.37

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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.