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Finding the Fourth Proportional to 400,697,968.80, 600,697,033.20 and 155,222,090.40

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Solution

The fourth proportional to 400,697,968.80, 600,697,033.20 and 155,222,090.40 is: 232,697,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,697,968.80 : 600,697,033.20 = 155,222,090.40 : x
  2. Step 2: Convert to fraction form
    400,697,968.80/600,697,033.20 = 155,222,090.40/x
  3. Step 3: Cross multiply
    400,697,968.80x = 600,697,033.20 × 155,222,090.40
  4. Step 4: Simplify right side
    400,697,968.80x = 93,241,449,190,382,208
  5. Step 5: Solve for x
    x = 93,241,449,190,382,208/400,697,968.80
  6. Step 6: Final answer
    x = 232,697,583.84

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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.