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Finding the Fourth Proportional to 340,886,814.80, 511,031,623.80 and 204,626,411.60

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Solution

The fourth proportional to 340,886,814.80, 511,031,623.80 and 204,626,411.60 is: 306,760,375.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,886,814.80 : 511,031,623.80 = 204,626,411.60 : x
  2. Step 2: Convert to fraction form
    340,886,814.80/511,031,623.80 = 204,626,411.60/x
  3. Step 3: Cross multiply
    340,886,814.80x = 511,031,623.80 × 204,626,411.60
  4. Step 4: Simplify right side
    340,886,814.80x = 104,570,567,392,315,152
  5. Step 5: Solve for x
    x = 104,570,567,392,315,152/340,886,814.80
  6. Step 6: Final answer
    x = 306,760,375.74

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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.