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Finding the Fourth Proportional to 512,208.80, 706,518.24 and 311,004.80

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Solution

The fourth proportional to 512,208.80, 706,518.24 and 311,004.80 is: 428,986.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,208.80 : 706,518.24 = 311,004.80 : x
  2. Step 2: Convert to fraction form
    512,208.80/706,518.24 = 311,004.80/x
  3. Step 3: Cross multiply
    512,208.80x = 706,518.24 × 311,004.80
  4. Step 4: Simplify right side
    512,208.80x = 219,730,563,927.55
  5. Step 5: Solve for x
    x = 219,730,563,927.55/512,208.80
  6. Step 6: Final answer
    x = 428,986.31

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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.