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Finding the Fourth Proportional to 397,297.80, 595,946.70 and 172,911.60

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Solution

The fourth proportional to 397,297.80, 595,946.70 and 172,911.60 is: 259,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,297.80 : 595,946.70 = 172,911.60 : x
  2. Step 2: Convert to fraction form
    397,297.80/595,946.70 = 172,911.60/x
  3. Step 3: Cross multiply
    397,297.80x = 595,946.70 × 172,911.60
  4. Step 4: Simplify right side
    397,297.80x = 103,046,097,411.72
  5. Step 5: Solve for x
    x = 103,046,097,411.72/397,297.80
  6. Step 6: Final answer
    x = 259,367.40

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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.