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Finding the Fourth Proportional to 512,605.08, 707,372.46 and 286,245.72

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Solution

The fourth proportional to 512,605.08, 707,372.46 and 286,245.72 is: 395,006.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,605.08 : 707,372.46 = 286,245.72 : x
  2. Step 2: Convert to fraction form
    512,605.08/707,372.46 = 286,245.72/x
  3. Step 3: Cross multiply
    512,605.08x = 707,372.46 × 286,245.72
  4. Step 4: Simplify right side
    512,605.08x = 202,482,339,120.87
  5. Step 5: Solve for x
    x = 202,482,339,120.87/512,605.08
  6. Step 6: Final answer
    x = 395,006.50

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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.