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Finding the Fourth Proportional to 261,021.20, 391,531.80 and 208,533.20

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Solution

The fourth proportional to 261,021.20, 391,531.80 and 208,533.20 is: 312,799.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,021.20 : 391,531.80 = 208,533.20 : x
  2. Step 2: Convert to fraction form
    261,021.20/391,531.80 = 208,533.20/x
  3. Step 3: Cross multiply
    261,021.20x = 391,531.80 × 208,533.20
  4. Step 4: Simplify right side
    261,021.20x = 81,647,379,155.76
  5. Step 5: Solve for x
    x = 81,647,379,155.76/261,021.20
  6. Step 6: Final answer
    x = 312,799.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.