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Finding the Fourth Proportional to 512,633.90, 768,514.65 and 313,094.25

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Solution

The fourth proportional to 512,633.90, 768,514.65 and 313,094.25 is: 469,374.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,633.90 : 768,514.65 = 313,094.25 : x
  2. Step 2: Convert to fraction form
    512,633.90/768,514.65 = 313,094.25/x
  3. Step 3: Cross multiply
    512,633.90x = 768,514.65 × 313,094.25
  4. Step 4: Simplify right side
    512,633.90x = 240,617,517,955.76
  5. Step 5: Solve for x
    x = 240,617,517,955.76/512,633.90
  6. Step 6: Final answer
    x = 469,374.97

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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.