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Finding the Fourth Proportional to 391,810, 540,697.80 and 212,962

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Solution

The fourth proportional to 391,810, 540,697.80 and 212,962 is: 293,887.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,810 : 540,697.80 = 212,962 : x
  2. Step 2: Convert to fraction form
    391,810/540,697.80 = 212,962/x
  3. Step 3: Cross multiply
    391,810x = 540,697.80 × 212,962
  4. Step 4: Simplify right side
    391,810x = 115,148,084,883.60
  5. Step 5: Solve for x
    x = 115,148,084,883.60/391,810
  6. Step 6: Final answer
    x = 293,887.56

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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.