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Finding the Fourth Proportional to 469,693,991.69, 704,536,501.37 and 285,512,320.29

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Solution

The fourth proportional to 469,693,991.69, 704,536,501.37 and 285,512,320.29 is: 428,265,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,693,991.69 : 704,536,501.37 = 285,512,320.29 : x
  2. Step 2: Convert to fraction form
    469,693,991.69/704,536,501.37 = 285,512,320.29/x
  3. Step 3: Cross multiply
    469,693,991.69x = 704,536,501.37 × 285,512,320.29
  4. Step 4: Simplify right side
    469,693,991.69x = 201,153,851,233,719,936
  5. Step 5: Solve for x
    x = 201,153,851,233,719,936/469,693,991.69
  6. Step 6: Final answer
    x = 428,265,753.44

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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.