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Finding the Fourth Proportional to 342,051.85, 472,164.75 and 306,179.83

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Solution

The fourth proportional to 342,051.85, 472,164.75 and 306,179.83 is: 422,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,051.85 : 472,164.75 = 306,179.83 : x
  2. Step 2: Convert to fraction form
    342,051.85/472,164.75 = 306,179.83/x
  3. Step 3: Cross multiply
    342,051.85x = 472,164.75 × 306,179.83
  4. Step 4: Simplify right side
    342,051.85x = 144,567,318,995.27
  5. Step 5: Solve for x
    x = 144,567,318,995.27/342,051.85
  6. Step 6: Final answer
    x = 422,647.39

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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.