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Finding the Fourth Proportional to 342,036, 472,009.68 and 191,133

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Solution

The fourth proportional to 342,036, 472,009.68 and 191,133 is: 263,763.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,036 : 472,009.68 = 191,133 : x
  2. Step 2: Convert to fraction form
    342,036/472,009.68 = 191,133/x
  3. Step 3: Cross multiply
    342,036x = 472,009.68 × 191,133
  4. Step 4: Simplify right side
    342,036x = 90,216,626,167.44
  5. Step 5: Solve for x
    x = 90,216,626,167.44/342,036
  6. Step 6: Final answer
    x = 263,763.54

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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.