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Finding the Fourth Proportional to 383,857.40, 575,051.70 and 206,305.40

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Solution

The fourth proportional to 383,857.40, 575,051.70 and 206,305.40 is: 309,063.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,857.40 : 575,051.70 = 206,305.40 : x
  2. Step 2: Convert to fraction form
    383,857.40/575,051.70 = 206,305.40/x
  3. Step 3: Cross multiply
    383,857.40x = 575,051.70 × 206,305.40
  4. Step 4: Simplify right side
    383,857.40x = 118,636,270,989.18
  5. Step 5: Solve for x
    x = 118,636,270,989.18/383,857.40
  6. Step 6: Final answer
    x = 309,063.39

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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.