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Finding the Fourth Proportional to 496,318.88, 685,158 and 305,495.84

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Solution

The fourth proportional to 496,318.88, 685,158 and 305,495.84 is: 421,730.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,318.88 : 685,158 = 305,495.84 : x
  2. Step 2: Convert to fraction form
    496,318.88/685,158 = 305,495.84/x
  3. Step 3: Cross multiply
    496,318.88x = 685,158 × 305,495.84
  4. Step 4: Simplify right side
    496,318.88x = 209,312,918,742.72
  5. Step 5: Solve for x
    x = 209,312,918,742.72/496,318.88
  6. Step 6: Final answer
    x = 421,730.72

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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.