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Finding the Fourth Proportional to 659,297,815.80, 988,946,723.70 and 199,306,980.60

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Solution

The fourth proportional to 659,297,815.80, 988,946,723.70 and 199,306,980.60 is: 298,960,470.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,297,815.80 : 988,946,723.70 = 199,306,980.60 : x
  2. Step 2: Convert to fraction form
    659,297,815.80/988,946,723.70 = 199,306,980.60/x
  3. Step 3: Cross multiply
    659,297,815.80x = 988,946,723.70 × 199,306,980.60
  4. Step 4: Simplify right side
    659,297,815.80x = 197,103,985,474,909,472
  5. Step 5: Solve for x
    x = 197,103,985,474,909,472/659,297,815.80
  6. Step 6: Final answer
    x = 298,960,470.90

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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.