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Finding the Fourth Proportional to 652,902.90, 978,960.69 and 298,215.24

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Solution

The fourth proportional to 652,902.90, 978,960.69 and 298,215.24 is: 447,143.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,902.90 : 978,960.69 = 298,215.24 : x
  2. Step 2: Convert to fraction form
    652,902.90/978,960.69 = 298,215.24/x
  3. Step 3: Cross multiply
    652,902.90x = 978,960.69 × 298,215.24
  4. Step 4: Simplify right side
    652,902.90x = 291,940,997,118.92
  5. Step 5: Solve for x
    x = 291,940,997,118.92/652,902.90
  6. Step 6: Final answer
    x = 447,143.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.