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Finding the Fourth Proportional to 512,190.26, 706,804.03 and 282,742.62

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Solution

The fourth proportional to 512,190.26, 706,804.03 and 282,742.62 is: 390,174.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,190.26 : 706,804.03 = 282,742.62 : x
  2. Step 2: Convert to fraction form
    512,190.26/706,804.03 = 282,742.62/x
  3. Step 3: Cross multiply
    512,190.26x = 706,804.03 × 282,742.62
  4. Step 4: Simplify right side
    512,190.26x = 199,843,619,734.74
  5. Step 5: Solve for x
    x = 199,843,619,734.74/512,190.26
  6. Step 6: Final answer
    x = 390,174.58

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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.