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Finding the Fourth Proportional to 383,668.38, 575,432.91 and 103,120.02

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Solution

The fourth proportional to 383,668.38, 575,432.91 and 103,120.02 is: 154,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,668.38 : 575,432.91 = 103,120.02 : x
  2. Step 2: Convert to fraction form
    383,668.38/575,432.91 = 103,120.02/x
  3. Step 3: Cross multiply
    383,668.38x = 575,432.91 × 103,120.02
  4. Step 4: Simplify right side
    383,668.38x = 59,338,653,187.86
  5. Step 5: Solve for x
    x = 59,338,653,187.86/383,668.38
  6. Step 6: Final answer
    x = 154,661.31

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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.