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Finding the Fourth Proportional to 512,084.88, 706,480.04 and 320,765.20

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Solution

The fourth proportional to 512,084.88, 706,480.04 and 320,765.20 is: 442,532.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,084.88 : 706,480.04 = 320,765.20 : x
  2. Step 2: Convert to fraction form
    512,084.88/706,480.04 = 320,765.20/x
  3. Step 3: Cross multiply
    512,084.88x = 706,480.04 × 320,765.20
  4. Step 4: Simplify right side
    512,084.88x = 226,614,211,326.61
  5. Step 5: Solve for x
    x = 226,614,211,326.61/512,084.88
  6. Step 6: Final answer
    x = 442,532.52

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1.5x scale

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.