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Finding the Fourth Proportional to 343,406.70, 515,110.05 and 305,352.90

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Solution

The fourth proportional to 343,406.70, 515,110.05 and 305,352.90 is: 458,029.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,406.70 : 515,110.05 = 305,352.90 : x
  2. Step 2: Convert to fraction form
    343,406.70/515,110.05 = 305,352.90/x
  3. Step 3: Cross multiply
    343,406.70x = 515,110.05 × 305,352.90
  4. Step 4: Simplify right side
    343,406.70x = 157,290,347,586.65
  5. Step 5: Solve for x
    x = 157,290,347,586.65/343,406.70
  6. Step 6: Final answer
    x = 458,029.35

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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.