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Finding the Fourth Proportional to 704,749.86, 972,073.08 and 449,986.14

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Solution

The fourth proportional to 704,749.86, 972,073.08 and 449,986.14 is: 620,673.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,749.86 : 972,073.08 = 449,986.14 : x
  2. Step 2: Convert to fraction form
    704,749.86/972,073.08 = 449,986.14/x
  3. Step 3: Cross multiply
    704,749.86x = 972,073.08 × 449,986.14
  4. Step 4: Simplify right side
    704,749.86x = 437,419,413,067.11
  5. Step 5: Solve for x
    x = 437,419,413,067.11/704,749.86
  6. Step 6: Final answer
    x = 620,673.29

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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.