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Finding the Fourth Proportional to 496,893.15, 685,715.83 and 282,036.80

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Solution

The fourth proportional to 496,893.15, 685,715.83 and 282,036.80 is: 389,212.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,893.15 : 685,715.83 = 282,036.80 : x
  2. Step 2: Convert to fraction form
    496,893.15/685,715.83 = 282,036.80/x
  3. Step 3: Cross multiply
    496,893.15x = 685,715.83 × 282,036.80
  4. Step 4: Simplify right side
    496,893.15x = 193,397,099,411.74
  5. Step 5: Solve for x
    x = 193,397,099,411.74/496,893.15
  6. Step 6: Final answer
    x = 389,212.65

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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.