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Finding the Fourth Proportional to 383,538.80, 575,999.40 and 371,097.20

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Solution

The fourth proportional to 383,538.80, 575,999.40 and 371,097.20 is: 557,314.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,538.80 : 575,999.40 = 371,097.20 : x
  2. Step 2: Convert to fraction form
    383,538.80/575,999.40 = 371,097.20/x
  3. Step 3: Cross multiply
    383,538.80x = 575,999.40 × 371,097.20
  4. Step 4: Simplify right side
    383,538.80x = 213,751,764,541.68
  5. Step 5: Solve for x
    x = 213,751,764,541.68/383,538.80
  6. Step 6: Final answer
    x = 557,314.58

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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.