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Finding the Fourth Proportional to 512,715.42, 767,578.68 and 298,829.25

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Solution

The fourth proportional to 512,715.42, 767,578.68 and 298,829.25 is: 447,372.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,715.42 : 767,578.68 = 298,829.25 : x
  2. Step 2: Convert to fraction form
    512,715.42/767,578.68 = 298,829.25/x
  3. Step 3: Cross multiply
    512,715.42x = 767,578.68 × 298,829.25
  4. Step 4: Simplify right side
    512,715.42x = 229,374,961,260.39
  5. Step 5: Solve for x
    x = 229,374,961,260.39/512,715.42
  6. Step 6: Final answer
    x = 447,372.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.