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Finding the Fourth Proportional to 305,100.84, 421,038 and 170,964.84

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Solution

The fourth proportional to 305,100.84, 421,038 and 170,964.84 is: 235,930.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,100.84 : 421,038 = 170,964.84 : x
  2. Step 2: Convert to fraction form
    305,100.84/421,038 = 170,964.84/x
  3. Step 3: Cross multiply
    305,100.84x = 421,038 × 170,964.84
  4. Step 4: Simplify right side
    305,100.84x = 71,982,694,303.92
  5. Step 5: Solve for x
    x = 71,982,694,303.92/305,100.84
  6. Step 6: Final answer
    x = 235,930.83

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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.