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Finding the Fourth Proportional to 512,939, 707,856.12 and 286,584.52

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Solution

The fourth proportional to 512,939, 707,856.12 and 286,584.52 is: 395,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,939 : 707,856.12 = 286,584.52 : x
  2. Step 2: Convert to fraction form
    512,939/707,856.12 = 286,584.52/x
  3. Step 3: Cross multiply
    512,939x = 707,856.12 × 286,584.52
  4. Step 4: Simplify right side
    512,939x = 202,860,606,379.26
  5. Step 5: Solve for x
    x = 202,860,606,379.26/512,939
  6. Step 6: Final answer
    x = 395,486.81

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1.5x scale

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.