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Finding the Fourth Proportional to 339,976,803.60, 509,965,205.40 and 266,000,216.40

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Solution

The fourth proportional to 339,976,803.60, 509,965,205.40 and 266,000,216.40 is: 399,000,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,976,803.60 : 509,965,205.40 = 266,000,216.40 : x
  2. Step 2: Convert to fraction form
    339,976,803.60/509,965,205.40 = 266,000,216.40/x
  3. Step 3: Cross multiply
    339,976,803.60x = 509,965,205.40 × 266,000,216.40
  4. Step 4: Simplify right side
    339,976,803.60x = 135,650,854,992,870,448
  5. Step 5: Solve for x
    x = 135,650,854,992,870,448/339,976,803.60
  6. Step 6: Final answer
    x = 399,000,324.60

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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.