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Finding the Fourth Proportional to 340,992,001.80, 511,488,002.70 and 308,079,822.60

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Solution

The fourth proportional to 340,992,001.80, 511,488,002.70 and 308,079,822.60 is: 462,119,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,992,001.80 : 511,488,002.70 = 308,079,822.60 : x
  2. Step 2: Convert to fraction form
    340,992,001.80/511,488,002.70 = 308,079,822.60/x
  3. Step 3: Cross multiply
    340,992,001.80x = 511,488,002.70 × 308,079,822.60
  4. Step 4: Simplify right side
    340,992,001.80x = 157,579,133,133,844,320
  5. Step 5: Solve for x
    x = 157,579,133,133,844,320/340,992,001.80
  6. Step 6: Final answer
    x = 462,119,733.90

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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.