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Finding the Fourth Proportional to 391,104, 539,723.52 and 212,256

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Solution

The fourth proportional to 391,104, 539,723.52 and 212,256 is: 292,913.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,104 : 539,723.52 = 212,256 : x
  2. Step 2: Convert to fraction form
    391,104/539,723.52 = 212,256/x
  3. Step 3: Cross multiply
    391,104x = 539,723.52 × 212,256
  4. Step 4: Simplify right side
    391,104x = 114,559,555,461.12
  5. Step 5: Solve for x
    x = 114,559,555,461.12/391,104
  6. Step 6: Final answer
    x = 292,913.28

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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.