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Finding the Fourth Proportional to 420,059.12, 629,709.59 and 285,168.60

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Solution

The fourth proportional to 420,059.12, 629,709.59 and 285,168.60 is: 427,495.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,059.12 : 629,709.59 = 285,168.60 : x
  2. Step 2: Convert to fraction form
    420,059.12/629,709.59 = 285,168.60/x
  3. Step 3: Cross multiply
    420,059.12x = 629,709.59 × 285,168.60
  4. Step 4: Simplify right side
    420,059.12x = 179,573,402,899.80
  5. Step 5: Solve for x
    x = 179,573,402,899.80/420,059.12
  6. Step 6: Final answer
    x = 427,495.55

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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.