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Finding the Fourth Proportional to 343,135.40, 514,905.30 and 143,440.40

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Solution

The fourth proportional to 343,135.40, 514,905.30 and 143,440.40 is: 215,245.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,135.40 : 514,905.30 = 143,440.40 : x
  2. Step 2: Convert to fraction form
    343,135.40/514,905.30 = 143,440.40/x
  3. Step 3: Cross multiply
    343,135.40x = 514,905.30 × 143,440.40
  4. Step 4: Simplify right side
    343,135.40x = 73,858,222,194.12
  5. Step 5: Solve for x
    x = 73,858,222,194.12/343,135.40
  6. Step 6: Final answer
    x = 215,245.13

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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.