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Finding the Fourth Proportional to 305,154.81, 421,113.74 and 169,190.37

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Solution

The fourth proportional to 305,154.81, 421,113.74 and 169,190.37 is: 233,482.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,154.81 : 421,113.74 = 169,190.37 : x
  2. Step 2: Convert to fraction form
    305,154.81/421,113.74 = 169,190.37/x
  3. Step 3: Cross multiply
    305,154.81x = 421,113.74 × 169,190.37
  4. Step 4: Simplify right side
    305,154.81x = 71,248,388,636.73
  5. Step 5: Solve for x
    x = 71,248,388,636.73/305,154.81
  6. Step 6: Final answer
    x = 233,482.76

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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.