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Finding the Fourth Proportional to 391,114.58, 539,738.34 and 212,266.58

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Solution

The fourth proportional to 391,114.58, 539,738.34 and 212,266.58 is: 292,928.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,114.58 : 539,738.34 = 212,266.58 : x
  2. Step 2: Convert to fraction form
    391,114.58/539,738.34 = 212,266.58/x
  3. Step 3: Cross multiply
    391,114.58x = 539,738.34 × 212,266.58
  4. Step 4: Simplify right side
    391,114.58x = 114,568,411,526.68
  5. Step 5: Solve for x
    x = 114,568,411,526.68/391,114.58
  6. Step 6: Final answer
    x = 292,928.00

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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.