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Finding the Fourth Proportional to 704,858,067.72, 972,647,189.37 and 407,519,471.52

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Solution

The fourth proportional to 704,858,067.72, 972,647,189.37 and 407,519,471.52 is: 562,343,948.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,858,067.72 : 972,647,189.37 = 407,519,471.52 : x
  2. Step 2: Convert to fraction form
    704,858,067.72/972,647,189.37 = 407,519,471.52/x
  3. Step 3: Cross multiply
    704,858,067.72x = 972,647,189.37 × 407,519,471.52
  4. Step 4: Simplify right side
    704,858,067.72x = 396,372,668,587,475,776
  5. Step 5: Solve for x
    x = 396,372,668,587,475,776/704,858,067.72
  6. Step 6: Final answer
    x = 562,343,948.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.