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Finding the Fourth Proportional to 389,920.06, 538,089.78 and 211,072.06

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Solution

The fourth proportional to 389,920.06, 538,089.78 and 211,072.06 is: 291,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,920.06 : 538,089.78 = 211,072.06 : x
  2. Step 2: Convert to fraction form
    389,920.06/538,089.78 = 211,072.06/x
  3. Step 3: Cross multiply
    389,920.06x = 538,089.78 × 211,072.06
  4. Step 4: Simplify right side
    389,920.06x = 113,575,718,329.55
  5. Step 5: Solve for x
    x = 113,575,718,329.55/389,920.06
  6. Step 6: Final answer
    x = 291,279.50

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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.