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Finding the Fourth Proportional to 420,200.40, 629,863.20 and 230,368.80

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Solution

The fourth proportional to 420,200.40, 629,863.20 and 230,368.80 is: 345,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,200.40 : 629,863.20 = 230,368.80 : x
  2. Step 2: Convert to fraction form
    420,200.40/629,863.20 = 230,368.80/x
  3. Step 3: Cross multiply
    420,200.40x = 629,863.20 × 230,368.80
  4. Step 4: Simplify right side
    420,200.40x = 145,100,829,548.16
  5. Step 5: Solve for x
    x = 145,100,829,548.16/420,200.40
  6. Step 6: Final answer
    x = 345,313.40

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1.5x scale

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.