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Finding the Fourth Proportional to 343,457.70, 515,186.55 and 305,403.90

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Solution

The fourth proportional to 343,457.70, 515,186.55 and 305,403.90 is: 458,105.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,457.70 : 515,186.55 = 305,403.90 : x
  2. Step 2: Convert to fraction form
    343,457.70/515,186.55 = 305,403.90/x
  3. Step 3: Cross multiply
    343,457.70x = 515,186.55 × 305,403.90
  4. Step 4: Simplify right side
    343,457.70x = 157,339,981,597.55
  5. Step 5: Solve for x
    x = 157,339,981,597.55/343,457.70
  6. Step 6: Final answer
    x = 458,105.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.