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Finding the Fourth Proportional to 419,907,501.60, 629,861,252.40 and 128,819,551.20

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Solution

The fourth proportional to 419,907,501.60, 629,861,252.40 and 128,819,551.20 is: 193,229,326.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,907,501.60 : 629,861,252.40 = 128,819,551.20 : x
  2. Step 2: Convert to fraction form
    419,907,501.60/629,861,252.40 = 128,819,551.20/x
  3. Step 3: Cross multiply
    419,907,501.60x = 629,861,252.40 × 128,819,551.20
  4. Step 4: Simplify right side
    419,907,501.60x = 81,138,443,852,437,920
  5. Step 5: Solve for x
    x = 81,138,443,852,437,920/419,907,501.60
  6. Step 6: Final answer
    x = 193,229,326.80

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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.