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Finding the Fourth Proportional to 305,740.36, 421,907.61 and 169,783.00

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Solution

The fourth proportional to 305,740.36, 421,907.61 and 169,783.00 is: 234,292.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,740.36 : 421,907.61 = 169,783.00 : x
  2. Step 2: Convert to fraction form
    305,740.36/421,907.61 = 169,783.00/x
  3. Step 3: Cross multiply
    305,740.36x = 421,907.61 × 169,783.00
  4. Step 4: Simplify right side
    305,740.36x = 71,632,739,446.34
  5. Step 5: Solve for x
    x = 71,632,739,446.34/305,740.36
  6. Step 6: Final answer
    x = 234,292.72

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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.