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Finding the Fourth Proportional to 661,078.31, 991,741.93 and 471,067.30

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Solution

The fourth proportional to 661,078.31, 991,741.93 and 471,067.30 is: 706,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,078.31 : 991,741.93 = 471,067.30 : x
  2. Step 2: Convert to fraction form
    661,078.31/991,741.93 = 471,067.30/x
  3. Step 3: Cross multiply
    661,078.31x = 991,741.93 × 471,067.30
  4. Step 4: Simplify right side
    661,078.31x = 467,177,193,323.90
  5. Step 5: Solve for x
    x = 467,177,193,323.90/661,078.31
  6. Step 6: Final answer
    x = 706,689.65

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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.