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Finding the Fourth Proportional to 399,367,958.40, 597,876,206.40 and 297,583,228.80

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Solution

The fourth proportional to 399,367,958.40, 597,876,206.40 and 297,583,228.80 is: 445,498,764.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,367,958.40 : 597,876,206.40 = 297,583,228.80 : x
  2. Step 2: Convert to fraction form
    399,367,958.40/597,876,206.40 = 297,583,228.80/x
  3. Step 3: Cross multiply
    399,367,958.40x = 597,876,206.40 × 297,583,228.80
  4. Step 4: Simplify right side
    399,367,958.40x = 177,917,931,923,207,232
  5. Step 5: Solve for x
    x = 177,917,931,923,207,232/399,367,958.40
  6. Step 6: Final answer
    x = 445,498,764.19

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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.