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Finding the Fourth Proportional to 652,079.12, 978,265.56 and 231,354.32

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Solution

The fourth proportional to 652,079.12, 978,265.56 and 231,354.32 is: 347,083.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,079.12 : 978,265.56 = 231,354.32 : x
  2. Step 2: Convert to fraction form
    652,079.12/978,265.56 = 231,354.32/x
  3. Step 3: Cross multiply
    652,079.12x = 978,265.56 × 231,354.32
  4. Step 4: Simplify right side
    652,079.12x = 226,325,963,413.22
  5. Step 5: Solve for x
    x = 226,325,963,413.22/652,079.12
  6. Step 6: Final answer
    x = 347,083.59

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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.