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Finding the Fourth Proportional to 419,907,603.40, 629,861,405.10 and 256,648,928.20

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Solution

The fourth proportional to 419,907,603.40, 629,861,405.10 and 256,648,928.20 is: 384,973,392.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,603.40 : 629,861,405.10 = 256,648,928.20 : x
  2. Step 2: Convert to fraction form
    419,907,603.40/629,861,405.10 = 256,648,928.20/x
  3. Step 3: Cross multiply
    419,907,603.40x = 629,861,405.10 × 256,648,928.20
  4. Step 4: Simplify right side
    419,907,603.40x = 161,653,254,533,461,024
  5. Step 5: Solve for x
    x = 161,653,254,533,461,024/419,907,603.40
  6. Step 6: Final answer
    x = 384,973,392.30

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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.