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Finding the Fourth Proportional to 416,459,445.60, 624,264,015.60 and 243,847,408.80

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Solution

The fourth proportional to 416,459,445.60, 624,264,015.60 and 243,847,408.80 is: 365,522,175.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,459,445.60 : 624,264,015.60 = 243,847,408.80 : x
  2. Step 2: Convert to fraction form
    416,459,445.60/624,264,015.60 = 243,847,408.80/x
  3. Step 3: Cross multiply
    416,459,445.60x = 624,264,015.60 × 243,847,408.80
  4. Step 4: Simplify right side
    416,459,445.60x = 152,225,162,611,142,784
  5. Step 5: Solve for x
    x = 152,225,162,611,142,784/416,459,445.60
  6. Step 6: Final answer
    x = 365,522,175.62

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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.