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Finding the Fourth Proportional to 419,639.20, 629,458.80 and 262,045.60

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Solution

The fourth proportional to 419,639.20, 629,458.80 and 262,045.60 is: 393,068.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,639.20 : 629,458.80 = 262,045.60 : x
  2. Step 2: Convert to fraction form
    419,639.20/629,458.80 = 262,045.60/x
  3. Step 3: Cross multiply
    419,639.20x = 629,458.80 × 262,045.60
  4. Step 4: Simplify right side
    419,639.20x = 164,946,908,921.28
  5. Step 5: Solve for x
    x = 164,946,908,921.28/419,639.20
  6. Step 6: Final answer
    x = 393,068.40

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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.