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Finding the Fourth Proportional to 379,954.80, 570,046.32 and 113,724

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Solution

The fourth proportional to 379,954.80, 570,046.32 and 113,724 is: 170,620.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,954.80 : 570,046.32 = 113,724 : x
  2. Step 2: Convert to fraction form
    379,954.80/570,046.32 = 113,724/x
  3. Step 3: Cross multiply
    379,954.80x = 570,046.32 × 113,724
  4. Step 4: Simplify right side
    379,954.80x = 64,827,947,695.68
  5. Step 5: Solve for x
    x = 64,827,947,695.68/379,954.80
  6. Step 6: Final answer
    x = 170,620.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.