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Finding the Fourth Proportional to 419,699,833.01, 628,239,653.58 and 309,160,105.01

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Solution

The fourth proportional to 419,699,833.01, 628,239,653.58 and 309,160,105.01 is: 462,775,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,699,833.01 : 628,239,653.58 = 309,160,105.01 : x
  2. Step 2: Convert to fraction form
    419,699,833.01/628,239,653.58 = 309,160,105.01/x
  3. Step 3: Cross multiply
    419,699,833.01x = 628,239,653.58 × 309,160,105.01
  4. Step 4: Simplify right side
    419,699,833.01x = 194,226,637,272,238,816
  5. Step 5: Solve for x
    x = 194,226,637,272,238,816/419,699,833.01
  6. Step 6: Final answer
    x = 462,775,112.11

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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.