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Finding the Fourth Proportional to 391,085, 539,703.78 and 212,237

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Solution

The fourth proportional to 391,085, 539,703.78 and 212,237 is: 292,890.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,085 : 539,703.78 = 212,237 : x
  2. Step 2: Convert to fraction form
    391,085/539,703.78 = 212,237/x
  3. Step 3: Cross multiply
    391,085x = 539,703.78 × 212,237
  4. Step 4: Simplify right side
    391,085x = 114,545,111,155.86
  5. Step 5: Solve for x
    x = 114,545,111,155.86/391,085
  6. Step 6: Final answer
    x = 292,890.58

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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.