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Finding the Fourth Proportional to 709,170, 978,654.60 and 454,521.19

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Solution

The fourth proportional to 709,170, 978,654.60 and 454,521.19 is: 627,239.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,170 : 978,654.60 = 454,521.19 : x
  2. Step 2: Convert to fraction form
    709,170/978,654.60 = 454,521.19/x
  3. Step 3: Cross multiply
    709,170x = 978,654.60 × 454,521.19
  4. Step 4: Simplify right side
    709,170x = 444,819,250,944.34
  5. Step 5: Solve for x
    x = 444,819,250,944.34/709,170
  6. Step 6: Final answer
    x = 627,239.24

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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.