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Finding the Fourth Proportional to 391,175.94, 539,857.02 and 219,091.20

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Solution

The fourth proportional to 391,175.94, 539,857.02 and 219,091.20 is: 302,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,175.94 : 539,857.02 = 219,091.20 : x
  2. Step 2: Convert to fraction form
    391,175.94/539,857.02 = 219,091.20/x
  3. Step 3: Cross multiply
    391,175.94x = 539,857.02 × 219,091.20
  4. Step 4: Simplify right side
    391,175.94x = 118,277,922,340.22
  5. Step 5: Solve for x
    x = 118,277,922,340.22/391,175.94
  6. Step 6: Final answer
    x = 302,365.02

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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.