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Finding the Fourth Proportional to 664,356,406.60, 996,534,609.90 and 406,076,080.60

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Solution

The fourth proportional to 664,356,406.60, 996,534,609.90 and 406,076,080.60 is: 609,114,120.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,356,406.60 : 996,534,609.90 = 406,076,080.60 : x
  2. Step 2: Convert to fraction form
    664,356,406.60/996,534,609.90 = 406,076,080.60/x
  3. Step 3: Cross multiply
    664,356,406.60x = 996,534,609.90 × 406,076,080.60
  4. Step 4: Simplify right side
    664,356,406.60x = 404,668,868,570,441,984
  5. Step 5: Solve for x
    x = 404,668,868,570,441,984/664,356,406.60
  6. Step 6: Final answer
    x = 609,114,120.90

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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.