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Finding the Fourth Proportional to 651,976.40, 978,137.40 and 231,208.40

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Solution

The fourth proportional to 651,976.40, 978,137.40 and 231,208.40 is: 346,873.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,976.40 : 978,137.40 = 231,208.40 : x
  2. Step 2: Convert to fraction form
    651,976.40/978,137.40 = 231,208.40/x
  3. Step 3: Cross multiply
    651,976.40x = 978,137.40 × 231,208.40
  4. Step 4: Simplify right side
    651,976.40x = 226,153,583,234.16
  5. Step 5: Solve for x
    x = 226,153,583,234.16/651,976.40
  6. Step 6: Final answer
    x = 346,873.88

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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.