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Finding the Fourth Proportional to 305,051.01, 420,969.66 and 167,229.69

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Solution

The fourth proportional to 305,051.01, 420,969.66 and 167,229.69 is: 230,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,051.01 : 420,969.66 = 167,229.69 : x
  2. Step 2: Convert to fraction form
    305,051.01/420,969.66 = 167,229.69/x
  3. Step 3: Cross multiply
    305,051.01x = 420,969.66 × 167,229.69
  4. Step 4: Simplify right side
    305,051.01x = 70,398,627,946.95
  5. Step 5: Solve for x
    x = 70,398,627,946.95/305,051.01
  6. Step 6: Final answer
    x = 230,776.58

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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.