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Finding the Fourth Proportional to 419,907,632.40, 629,861,448.60 and 256,648,957.20

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Solution

The fourth proportional to 419,907,632.40, 629,861,448.60 and 256,648,957.20 is: 384,973,435.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,632.40 : 629,861,448.60 = 256,648,957.20 : x
  2. Step 2: Convert to fraction form
    419,907,632.40/629,861,448.60 = 256,648,957.20/x
  3. Step 3: Cross multiply
    419,907,632.40x = 629,861,448.60 × 256,648,957.20
  4. Step 4: Simplify right side
    419,907,632.40x = 161,653,283,963,671,392
  5. Step 5: Solve for x
    x = 161,653,283,963,671,392/419,907,632.40
  6. Step 6: Final answer
    x = 384,973,435.80

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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.