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Finding the Fourth Proportional to 512,303.31, 706,989.69 and 282,859.83

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Solution

The fourth proportional to 512,303.31, 706,989.69 and 282,859.83 is: 390,352.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,303.31 : 706,989.69 = 282,859.83 : x
  2. Step 2: Convert to fraction form
    512,303.31/706,989.69 = 282,859.83/x
  3. Step 3: Cross multiply
    512,303.31x = 706,989.69 × 282,859.83
  4. Step 4: Simplify right side
    512,303.31x = 199,978,983,525.15
  5. Step 5: Solve for x
    x = 199,978,983,525.15/512,303.31
  6. Step 6: Final answer
    x = 390,352.71

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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.