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Finding the Fourth Proportional to 419,409,380.64, 629,113,526.64 and 112,701,500.40

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Solution

The fourth proportional to 419,409,380.64, 629,113,526.64 and 112,701,500.40 is: 169,052,104.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,409,380.64 : 629,113,526.64 = 112,701,500.40 : x
  2. Step 2: Convert to fraction form
    419,409,380.64/629,113,526.64 = 112,701,500.40/x
  3. Step 3: Cross multiply
    419,409,380.64x = 629,113,526.64 × 112,701,500.40
  4. Step 4: Simplify right side
    419,409,380.64x = 70,902,038,374,263,376
  5. Step 5: Solve for x
    x = 70,902,038,374,263,376/419,409,380.64
  6. Step 6: Final answer
    x = 169,052,104.33

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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.