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Finding the Fourth Proportional to 391,903, 540,830.46 and 213,055

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Solution

The fourth proportional to 391,903, 540,830.46 and 213,055 is: 294,018.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,903 : 540,830.46 = 213,055 : x
  2. Step 2: Convert to fraction form
    391,903/540,830.46 = 213,055/x
  3. Step 3: Cross multiply
    391,903x = 540,830.46 × 213,055
  4. Step 4: Simplify right side
    391,903x = 115,226,633,655.30
  5. Step 5: Solve for x
    x = 115,226,633,655.30/391,903
  6. Step 6: Final answer
    x = 294,018.25

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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.