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Finding the Fourth Proportional to 511,507, 705,879.66 and 285,167.08

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Solution

The fourth proportional to 511,507, 705,879.66 and 285,167.08 is: 393,530.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,507 : 705,879.66 = 285,167.08 : x
  2. Step 2: Convert to fraction form
    511,507/705,879.66 = 285,167.08/x
  3. Step 3: Cross multiply
    511,507x = 705,879.66 × 285,167.08
  4. Step 4: Simplify right side
    511,507x = 201,293,641,473.59
  5. Step 5: Solve for x
    x = 201,293,641,473.59/511,507
  6. Step 6: Final answer
    x = 393,530.57

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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.