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Finding the Fourth Proportional to 382,860.54, 574,290.81 and 102,370.50

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Solution

The fourth proportional to 382,860.54, 574,290.81 and 102,370.50 is: 153,555.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,860.54 : 574,290.81 = 102,370.50 : x
  2. Step 2: Convert to fraction form
    382,860.54/574,290.81 = 102,370.50/x
  3. Step 3: Cross multiply
    382,860.54x = 574,290.81 × 102,370.50
  4. Step 4: Simplify right side
    382,860.54x = 58,790,437,365.11
  5. Step 5: Solve for x
    x = 58,790,437,365.11/382,860.54
  6. Step 6: Final answer
    x = 153,555.75

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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.