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Finding the Fourth Proportional to 512,497.13, 707,289.77 and 286,186.37

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Solution

The fourth proportional to 512,497.13, 707,289.77 and 286,186.37 is: 394,961.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,497.13 : 707,289.77 = 286,186.37 : x
  2. Step 2: Convert to fraction form
    512,497.13/707,289.77 = 286,186.37/x
  3. Step 3: Cross multiply
    512,497.13x = 707,289.77 × 286,186.37
  4. Step 4: Simplify right side
    512,497.13x = 202,416,688,993.45
  5. Step 5: Solve for x
    x = 202,416,688,993.45/512,497.13
  6. Step 6: Final answer
    x = 394,961.61

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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.