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Finding the Fourth Proportional to 340,433.08, 469,880.40 and 197,170

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Solution

The fourth proportional to 340,433.08, 469,880.40 and 197,170 is: 272,142.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,433.08 : 469,880.40 = 197,170 : x
  2. Step 2: Convert to fraction form
    340,433.08/469,880.40 = 197,170/x
  3. Step 3: Cross multiply
    340,433.08x = 469,880.40 × 197,170
  4. Step 4: Simplify right side
    340,433.08x = 92,646,318,468
  5. Step 5: Solve for x
    x = 92,646,318,468/340,433.08
  6. Step 6: Final answer
    x = 272,142.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.