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Finding the Fourth Proportional to 391,135.94, 539,705.94 and 227,819.32

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Solution

The fourth proportional to 391,135.94, 539,705.94 and 227,819.32 is: 314,354.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,135.94 : 539,705.94 = 227,819.32 : x
  2. Step 2: Convert to fraction form
    391,135.94/539,705.94 = 227,819.32/x
  3. Step 3: Cross multiply
    391,135.94x = 539,705.94 × 227,819.32
  4. Step 4: Simplify right side
    391,135.94x = 122,955,439,830.64
  5. Step 5: Solve for x
    x = 122,955,439,830.64/391,135.94
  6. Step 6: Final answer
    x = 314,354.75

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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.