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Finding the Fourth Proportional to 978,702.27, 1,350,606.31 and 543,185.38

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Solution

The fourth proportional to 978,702.27, 1,350,606.31 and 543,185.38 is: 749,594.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,702.27 : 1,350,606.31 = 543,185.38 : x
  2. Step 2: Convert to fraction form
    978,702.27/1,350,606.31 = 543,185.38/x
  3. Step 3: Cross multiply
    978,702.27x = 1,350,606.31 × 543,185.38
  4. Step 4: Simplify right side
    978,702.27x = 733,629,601,727.75
  5. Step 5: Solve for x
    x = 733,629,601,727.75/978,702.27
  6. Step 6: Final answer
    x = 749,594.26

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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.