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Finding the Fourth Proportional to 443,208,685.80, 664,813,028.70 and 407,495,850.60

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Solution

The fourth proportional to 443,208,685.80, 664,813,028.70 and 407,495,850.60 is: 611,243,775.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,208,685.80 : 664,813,028.70 = 407,495,850.60 : x
  2. Step 2: Convert to fraction form
    443,208,685.80/664,813,028.70 = 407,495,850.60/x
  3. Step 3: Cross multiply
    443,208,685.80x = 664,813,028.70 × 407,495,850.60
  4. Step 4: Simplify right side
    443,208,685.80x = 270,908,550,620,068,736
  5. Step 5: Solve for x
    x = 270,908,550,620,068,736/443,208,685.80
  6. Step 6: Final answer
    x = 611,243,775.90

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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.