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Finding the Fourth Proportional to 516,968.06, 713,361.49 and 287,488.19

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Solution

The fourth proportional to 516,968.06, 713,361.49 and 287,488.19 is: 396,703.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,968.06 : 713,361.49 = 287,488.19 : x
  2. Step 2: Convert to fraction form
    516,968.06/713,361.49 = 287,488.19/x
  3. Step 3: Cross multiply
    516,968.06x = 713,361.49 × 287,488.19
  4. Step 4: Simplify right side
    516,968.06x = 205,083,004,640.49
  5. Step 5: Solve for x
    x = 205,083,004,640.49/516,968.06
  6. Step 6: Final answer
    x = 396,703.44

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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.