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Finding the Fourth Proportional to 343,212.72, 514,822.14 and 140,920.08

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Solution

The fourth proportional to 343,212.72, 514,822.14 and 140,920.08 is: 211,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,212.72 : 514,822.14 = 140,920.08 : x
  2. Step 2: Convert to fraction form
    343,212.72/514,822.14 = 140,920.08/x
  3. Step 3: Cross multiply
    343,212.72x = 514,822.14 × 140,920.08
  4. Step 4: Simplify right side
    343,212.72x = 72,548,777,154.57
  5. Step 5: Solve for x
    x = 72,548,777,154.57/343,212.72
  6. Step 6: Final answer
    x = 211,381.38

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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.