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Finding the Fourth Proportional to 709,170.25, 978,654.95 and 454,521.44

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Solution

The fourth proportional to 709,170.25, 978,654.95 and 454,521.44 is: 627,239.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,170.25 : 978,654.95 = 454,521.44 : x
  2. Step 2: Convert to fraction form
    709,170.25/978,654.95 = 454,521.44/x
  3. Step 3: Cross multiply
    709,170.25x = 978,654.95 × 454,521.44
  4. Step 4: Simplify right side
    709,170.25x = 444,819,657,137.13
  5. Step 5: Solve for x
    x = 444,819,657,137.13/709,170.25
  6. Step 6: Final answer
    x = 627,239.59

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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.