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Finding the Fourth Proportional to 511,640.51, 706,340.72 and 307,736.94

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Solution

The fourth proportional to 511,640.51, 706,340.72 and 307,736.94 is: 424,843.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,640.51 : 706,340.72 = 307,736.94 : x
  2. Step 2: Convert to fraction form
    511,640.51/706,340.72 = 307,736.94/x
  3. Step 3: Cross multiply
    511,640.51x = 706,340.72 × 307,736.94
  4. Step 4: Simplify right side
    511,640.51x = 217,367,130,231.51
  5. Step 5: Solve for x
    x = 217,367,130,231.51/511,640.51
  6. Step 6: Final answer
    x = 424,843.48

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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.