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Finding the Fourth Proportional to 496,209.63, 685,700.16 and 405,532.50

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Solution

The fourth proportional to 496,209.63, 685,700.16 and 405,532.50 is: 560,395.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,209.63 : 685,700.16 = 405,532.50 : x
  2. Step 2: Convert to fraction form
    496,209.63/685,700.16 = 405,532.50/x
  3. Step 3: Cross multiply
    496,209.63x = 685,700.16 × 405,532.50
  4. Step 4: Simplify right side
    496,209.63x = 278,073,700,135.20
  5. Step 5: Solve for x
    x = 278,073,700,135.20/496,209.63
  6. Step 6: Final answer
    x = 560,395.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.