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Finding the Fourth Proportional to 512,804.88, 767,255.40 and 309,653.24

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Solution

The fourth proportional to 512,804.88, 767,255.40 and 309,653.24 is: 463,301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,804.88 : 767,255.40 = 309,653.24 : x
  2. Step 2: Convert to fraction form
    512,804.88/767,255.40 = 309,653.24/x
  3. Step 3: Cross multiply
    512,804.88x = 767,255.40 × 309,653.24
  4. Step 4: Simplify right side
    512,804.88x = 237,583,120,517.50
  5. Step 5: Solve for x
    x = 237,583,120,517.50/512,804.88
  6. Step 6: Final answer
    x = 463,301.21

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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.