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Finding the Fourth Proportional to 420,561.60, 629,306.40 and 309,969.60

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Solution

The fourth proportional to 420,561.60, 629,306.40 and 309,969.60 is: 463,822.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,561.60 : 629,306.40 = 309,969.60 : x
  2. Step 2: Convert to fraction form
    420,561.60/629,306.40 = 309,969.60/x
  3. Step 3: Cross multiply
    420,561.60x = 629,306.40 × 309,969.60
  4. Step 4: Simplify right side
    420,561.60x = 195,065,853,085.44
  5. Step 5: Solve for x
    x = 195,065,853,085.44/420,561.60
  6. Step 6: Final answer
    x = 463,822.31

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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.