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Finding the Fourth Proportional to 496,877.08, 685,752.32 and 282,086.68

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Solution

The fourth proportional to 496,877.08, 685,752.32 and 282,086.68 is: 389,314.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,877.08 : 685,752.32 = 282,086.68 : x
  2. Step 2: Convert to fraction form
    496,877.08/685,752.32 = 282,086.68/x
  3. Step 3: Cross multiply
    496,877.08x = 685,752.32 × 282,086.68
  4. Step 4: Simplify right side
    496,877.08x = 193,441,595,251.10
  5. Step 5: Solve for x
    x = 193,441,595,251.10/496,877.08
  6. Step 6: Final answer
    x = 389,314.79

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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.