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Finding the Fourth Proportional to 391,212.46, 539,835.87 and 310,834.54

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Solution

The fourth proportional to 391,212.46, 539,835.87 and 310,834.54 is: 428,922.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,212.46 : 539,835.87 = 310,834.54 : x
  2. Step 2: Convert to fraction form
    391,212.46/539,835.87 = 310,834.54/x
  3. Step 3: Cross multiply
    391,212.46x = 539,835.87 × 310,834.54
  4. Step 4: Simplify right side
    391,212.46x = 167,799,634,326.95
  5. Step 5: Solve for x
    x = 167,799,634,326.95/391,212.46
  6. Step 6: Final answer
    x = 428,922.01

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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.