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Finding the Fourth Proportional to 580,086.47, 800,666.47 and 396,399.40

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Solution

The fourth proportional to 580,086.47, 800,666.47 and 396,399.40 is: 547,131.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,086.47 : 800,666.47 = 396,399.40 : x
  2. Step 2: Convert to fraction form
    580,086.47/800,666.47 = 396,399.40/x
  3. Step 3: Cross multiply
    580,086.47x = 800,666.47 × 396,399.40
  4. Step 4: Simplify right side
    580,086.47x = 317,383,709,804.45
  5. Step 5: Solve for x
    x = 317,383,709,804.45/580,086.47
  6. Step 6: Final answer
    x = 547,131.73

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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.