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Finding the Fourth Proportional to 300,069.40, 413,431.14 and 197,914.60

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Solution

The fourth proportional to 300,069.40, 413,431.14 and 197,914.60 is: 272,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,069.40 : 413,431.14 = 197,914.60 : x
  2. Step 2: Convert to fraction form
    300,069.40/413,431.14 = 197,914.60/x
  3. Step 3: Cross multiply
    300,069.40x = 413,431.14 × 197,914.60
  4. Step 4: Simplify right side
    300,069.40x = 81,824,058,700.64
  5. Step 5: Solve for x
    x = 81,824,058,700.64/300,069.40
  6. Step 6: Final answer
    x = 272,683.78

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1.5x scale

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.