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Finding the Fourth Proportional to 397,101, 595,725.30 and 130,880.22

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Solution

The fourth proportional to 397,101, 595,725.30 and 130,880.22 is: 196,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,101 : 595,725.30 = 130,880.22 : x
  2. Step 2: Convert to fraction form
    397,101/595,725.30 = 130,880.22/x
  3. Step 3: Cross multiply
    397,101x = 595,725.30 × 130,880.22
  4. Step 4: Simplify right side
    397,101x = 77,968,658,323.57
  5. Step 5: Solve for x
    x = 77,968,658,323.57/397,101
  6. Step 6: Final answer
    x = 196,344.65

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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.