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Finding the Fourth Proportional to 419,966.40, 629,949.60 and 370,977.60

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Solution

The fourth proportional to 419,966.40, 629,949.60 and 370,977.60 is: 556,466.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,966.40 : 629,949.60 = 370,977.60 : x
  2. Step 2: Convert to fraction form
    419,966.40/629,949.60 = 370,977.60/x
  3. Step 3: Cross multiply
    419,966.40x = 629,949.60 × 370,977.60
  4. Step 4: Simplify right side
    419,966.40x = 233,697,190,728.96
  5. Step 5: Solve for x
    x = 233,697,190,728.96/419,966.40
  6. Step 6: Final answer
    x = 556,466.40

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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.