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Finding the Fourth Proportional to 343,211.72, 514,820.63 and 140,919.08

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Solution

The fourth proportional to 343,211.72, 514,820.63 and 140,919.08 is: 211,379.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,211.72 : 514,820.63 = 140,919.08 : x
  2. Step 2: Convert to fraction form
    343,211.72/514,820.63 = 140,919.08/x
  3. Step 3: Cross multiply
    343,211.72x = 514,820.63 × 140,919.08
  4. Step 4: Simplify right side
    343,211.72x = 72,548,049,544.62
  5. Step 5: Solve for x
    x = 72,548,049,544.62/343,211.72
  6. Step 6: Final answer
    x = 211,379.87

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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.