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Finding the Fourth Proportional to 652,164.90, 978,420.15 and 231,396.90

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Solution

The fourth proportional to 652,164.90, 978,420.15 and 231,396.90 is: 347,156.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,164.90 : 978,420.15 = 231,396.90 : x
  2. Step 2: Convert to fraction form
    652,164.90/978,420.15 = 231,396.90/x
  3. Step 3: Cross multiply
    652,164.90x = 978,420.15 × 231,396.90
  4. Step 4: Simplify right side
    652,164.90x = 226,403,389,607.54
  5. Step 5: Solve for x
    x = 226,403,389,607.54/652,164.90
  6. Step 6: Final answer
    x = 347,156.66

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Why These Related Problems?

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