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Finding the Fourth Proportional to 709,517.98, 978,696.96 and 505,634.23

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Solution

The fourth proportional to 709,517.98, 978,696.96 and 505,634.23 is: 697,463.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,517.98 : 978,696.96 = 505,634.23 : x
  2. Step 2: Convert to fraction form
    709,517.98/978,696.96 = 505,634.23/x
  3. Step 3: Cross multiply
    709,517.98x = 978,696.96 × 505,634.23
  4. Step 4: Simplify right side
    709,517.98x = 494,862,683,772.94
  5. Step 5: Solve for x
    x = 494,862,683,772.94/709,517.98
  6. Step 6: Final answer
    x = 697,463.20

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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.