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Finding the Fourth Proportional to 391,542.20, 540,199.72 and 219,435

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Solution

The fourth proportional to 391,542.20, 540,199.72 and 219,435 is: 302,748.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,542.20 : 540,199.72 = 219,435 : x
  2. Step 2: Convert to fraction form
    391,542.20/540,199.72 = 219,435/x
  3. Step 3: Cross multiply
    391,542.20x = 540,199.72 × 219,435
  4. Step 4: Simplify right side
    391,542.20x = 118,538,725,558.20
  5. Step 5: Solve for x
    x = 118,538,725,558.20/391,542.20
  6. Step 6: Final answer
    x = 302,748.27

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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.