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Finding the Fourth Proportional to 342,673.88, 514,190.63 and 140,420.12

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Solution

The fourth proportional to 342,673.88, 514,190.63 and 140,420.12 is: 210,703.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,673.88 : 514,190.63 = 140,420.12 : x
  2. Step 2: Convert to fraction form
    342,673.88/514,190.63 = 140,420.12/x
  3. Step 3: Cross multiply
    342,673.88x = 514,190.63 × 140,420.12
  4. Step 4: Simplify right side
    342,673.88x = 72,202,707,747.57
  5. Step 5: Solve for x
    x = 72,202,707,747.57/342,673.88
  6. Step 6: Final answer
    x = 210,703.86

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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.