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Finding the Fourth Proportional to 305,263.58, 421,289.61 and 169,341.31

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Solution

The fourth proportional to 305,263.58, 421,289.61 and 169,341.31 is: 233,705.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,263.58 : 421,289.61 = 169,341.31 : x
  2. Step 2: Convert to fraction form
    305,263.58/421,289.61 = 169,341.31/x
  3. Step 3: Cross multiply
    305,263.58x = 421,289.61 × 169,341.31
  4. Step 4: Simplify right side
    305,263.58x = 71,341,734,338.37
  5. Step 5: Solve for x
    x = 71,341,734,338.37/305,263.58
  6. Step 6: Final answer
    x = 233,705.36

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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.