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Finding the Fourth Proportional to 496,763.82, 685,164.42 and 315,318.15

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Solution

The fourth proportional to 496,763.82, 685,164.42 and 315,318.15 is: 434,904.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,763.82 : 685,164.42 = 315,318.15 : x
  2. Step 2: Convert to fraction form
    496,763.82/685,164.42 = 315,318.15/x
  3. Step 3: Cross multiply
    496,763.82x = 685,164.42 × 315,318.15
  4. Step 4: Simplify right side
    496,763.82x = 216,044,777,360.22
  5. Step 5: Solve for x
    x = 216,044,777,360.22/496,763.82
  6. Step 6: Final answer
    x = 434,904.41

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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.