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Finding the Fourth Proportional to 391,650, 540,480.30 and 212,802

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Solution

The fourth proportional to 391,650, 540,480.30 and 212,802 is: 293,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,650 : 540,480.30 = 212,802 : x
  2. Step 2: Convert to fraction form
    391,650/540,480.30 = 212,802/x
  3. Step 3: Cross multiply
    391,650x = 540,480.30 × 212,802
  4. Step 4: Simplify right side
    391,650x = 115,015,288,800.60
  5. Step 5: Solve for x
    x = 115,015,288,800.60/391,650
  6. Step 6: Final answer
    x = 293,668.55

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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.