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Finding the Fourth Proportional to 383,842.20, 575,712.90 and 117,629.40

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Solution

The fourth proportional to 383,842.20, 575,712.90 and 117,629.40 is: 176,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,842.20 : 575,712.90 = 117,629.40 : x
  2. Step 2: Convert to fraction form
    383,842.20/575,712.90 = 117,629.40/x
  3. Step 3: Cross multiply
    383,842.20x = 575,712.90 × 117,629.40
  4. Step 4: Simplify right side
    383,842.20x = 67,720,762,999.26
  5. Step 5: Solve for x
    x = 67,720,762,999.26/383,842.20
  6. Step 6: Final answer
    x = 176,428.65

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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.