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Finding the Fourth Proportional to 391,108.50, 539,729.73 and 212,260.50

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Solution

The fourth proportional to 391,108.50, 539,729.73 and 212,260.50 is: 292,919.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,108.50 : 539,729.73 = 212,260.50 : x
  2. Step 2: Convert to fraction form
    391,108.50/539,729.73 = 212,260.50/x
  3. Step 3: Cross multiply
    391,108.50x = 539,729.73 × 212,260.50
  4. Step 4: Simplify right side
    391,108.50x = 114,563,302,354.67
  5. Step 5: Solve for x
    x = 114,563,302,354.67/391,108.50
  6. Step 6: Final answer
    x = 292,919.49

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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.