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Finding the Fourth Proportional to 305,004.96, 420,907.92 and 169,041.18

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Solution

The fourth proportional to 305,004.96, 420,907.92 and 169,041.18 is: 233,277.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,004.96 : 420,907.92 = 169,041.18 : x
  2. Step 2: Convert to fraction form
    305,004.96/420,907.92 = 169,041.18/x
  3. Step 3: Cross multiply
    305,004.96x = 420,907.92 × 169,041.18
  4. Step 4: Simplify right side
    305,004.96x = 71,150,771,468.15
  5. Step 5: Solve for x
    x = 71,150,771,468.15/305,004.96
  6. Step 6: Final answer
    x = 233,277.42

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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.