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Finding the Fourth Proportional to 299,551,482.40, 449,327,223.60 and 197,430,829.60

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Solution

The fourth proportional to 299,551,482.40, 449,327,223.60 and 197,430,829.60 is: 296,146,244.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,551,482.40 : 449,327,223.60 = 197,430,829.60 : x
  2. Step 2: Convert to fraction form
    299,551,482.40/449,327,223.60 = 197,430,829.60/x
  3. Step 3: Cross multiply
    299,551,482.40x = 449,327,223.60 × 197,430,829.60
  4. Step 4: Simplify right side
    299,551,482.40x = 88,711,046,517,212,704
  5. Step 5: Solve for x
    x = 88,711,046,517,212,704/299,551,482.40
  6. Step 6: Final answer
    x = 296,146,244.40

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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.