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Finding the Fourth Proportional to 343,136.40, 514,906.80 and 143,441.40

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Solution

The fourth proportional to 343,136.40, 514,906.80 and 143,441.40 is: 215,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,136.40 : 514,906.80 = 143,441.40 : x
  2. Step 2: Convert to fraction form
    343,136.40/514,906.80 = 143,441.40/x
  3. Step 3: Cross multiply
    343,136.40x = 514,906.80 × 143,441.40
  4. Step 4: Simplify right side
    343,136.40x = 73,858,952,261.52
  5. Step 5: Solve for x
    x = 73,858,952,261.52/343,136.40
  6. Step 6: Final answer
    x = 215,246.63

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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.