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Finding the Fourth Proportional to 443,233,985.80, 664,850,978.70 and 213,651,473.80

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Solution

The fourth proportional to 443,233,985.80, 664,850,978.70 and 213,651,473.80 is: 320,477,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,233,985.80 : 664,850,978.70 = 213,651,473.80 : x
  2. Step 2: Convert to fraction form
    443,233,985.80/664,850,978.70 = 213,651,473.80/x
  3. Step 3: Cross multiply
    443,233,985.80x = 664,850,978.70 × 213,651,473.80
  4. Step 4: Simplify right side
    443,233,985.80x = 142,046,391,456,627,424
  5. Step 5: Solve for x
    x = 142,046,391,456,627,424/443,233,985.80
  6. Step 6: Final answer
    x = 320,477,210.70

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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.