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Finding the Fourth Proportional to 516,329.56, 712,566.42 and 289,975

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Solution

The fourth proportional to 516,329.56, 712,566.42 and 289,975 is: 400,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,329.56 : 712,566.42 = 289,975 : x
  2. Step 2: Convert to fraction form
    516,329.56/712,566.42 = 289,975/x
  3. Step 3: Cross multiply
    516,329.56x = 712,566.42 × 289,975
  4. Step 4: Simplify right side
    516,329.56x = 206,626,447,639.50
  5. Step 5: Solve for x
    x = 206,626,447,639.50/516,329.56
  6. Step 6: Final answer
    x = 400,183.26

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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.