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Finding the Fourth Proportional to 391,517.85, 540,332.46 and 219,464.94

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Solution

The fourth proportional to 391,517.85, 540,332.46 and 219,464.94 is: 302,882.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,517.85 : 540,332.46 = 219,464.94 : x
  2. Step 2: Convert to fraction form
    391,517.85/540,332.46 = 219,464.94/x
  3. Step 3: Cross multiply
    391,517.85x = 540,332.46 × 219,464.94
  4. Step 4: Simplify right side
    391,517.85x = 118,584,030,913.95
  5. Step 5: Solve for x
    x = 118,584,030,913.95/391,517.85
  6. Step 6: Final answer
    x = 302,882.82

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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.