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Finding the Fourth Proportional to 408,118,900.80, 612,816,080.40 and 235,932,016.80

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Solution

The fourth proportional to 408,118,900.80, 612,816,080.40 and 235,932,016.80 is: 354,266,694.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,118,900.80 : 612,816,080.40 = 235,932,016.80 : x
  2. Step 2: Convert to fraction form
    408,118,900.80/612,816,080.40 = 235,932,016.80/x
  3. Step 3: Cross multiply
    408,118,900.80x = 612,816,080.40 × 235,932,016.80
  4. Step 4: Simplify right side
    408,118,900.80x = 144,582,933,776,242,944
  5. Step 5: Solve for x
    x = 144,582,933,776,242,944/408,118,900.80
  6. Step 6: Final answer
    x = 354,266,694.08

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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.