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Finding the Fourth Proportional to 287,388,003.05, 431,082,004.58 and 287,388,003.05

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Solution

The fourth proportional to 287,388,003.05, 431,082,004.58 and 287,388,003.05 is: 431,082,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,388,003.05 : 431,082,004.58 = 287,388,003.05 : x
  2. Step 2: Convert to fraction form
    287,388,003.05/431,082,004.58 = 287,388,003.05/x
  3. Step 3: Cross multiply
    287,388,003.05x = 431,082,004.58 × 287,388,003.05
  4. Step 4: Simplify right side
    287,388,003.05x = 123,887,796,445,600,208
  5. Step 5: Solve for x
    x = 123,887,796,445,600,208/287,388,003.05
  6. Step 6: Final answer
    x = 431,082,004.58

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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.