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Finding the Fourth Proportional to 339,969,311.60, 509,953,967.40 and 109,961,646.80

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Solution

The fourth proportional to 339,969,311.60, 509,953,967.40 and 109,961,646.80 is: 164,942,470.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,969,311.60 : 509,953,967.40 = 109,961,646.80 : x
  2. Step 2: Convert to fraction form
    339,969,311.60/509,953,967.40 = 109,961,646.80/x
  3. Step 3: Cross multiply
    339,969,311.60x = 509,953,967.40 × 109,961,646.80
  4. Step 4: Simplify right side
    339,969,311.60x = 56,075,378,047,497,512
  5. Step 5: Solve for x
    x = 56,075,378,047,497,512/339,969,311.60
  6. Step 6: Final answer
    x = 164,942,470.20

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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.