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Finding the Fourth Proportional to 383,949.59, 575,475.89 and 288,874.26

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Solution

The fourth proportional to 383,949.59, 575,475.89 and 288,874.26 is: 432,973.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,949.59 : 575,475.89 = 288,874.26 : x
  2. Step 2: Convert to fraction form
    383,949.59/575,475.89 = 288,874.26/x
  3. Step 3: Cross multiply
    383,949.59x = 575,475.89 × 288,874.26
  4. Step 4: Simplify right side
    383,949.59x = 166,240,170,427.22
  5. Step 5: Solve for x
    x = 166,240,170,427.22/383,949.59
  6. Step 6: Final answer
    x = 432,973.96

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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.