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Finding the Fourth Proportional to 512,161.00, 706,821.31 and 282,762.47

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Solution

The fourth proportional to 512,161.00, 706,821.31 and 282,762.47 is: 390,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,161.00 : 706,821.31 = 282,762.47 : x
  2. Step 2: Convert to fraction form
    512,161.00/706,821.31 = 282,762.47/x
  3. Step 3: Cross multiply
    512,161.00x = 706,821.31 × 282,762.47
  4. Step 4: Simplify right side
    512,161.00x = 199,862,540,392.08
  5. Step 5: Solve for x
    x = 199,862,540,392.08/512,161.00
  6. Step 6: Final answer
    x = 390,233.81

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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.