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Finding the Fourth Proportional to 543,509.39, 814,835.30 and 343,408.01

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Solution

The fourth proportional to 543,509.39, 814,835.30 and 343,408.01 is: 514,841.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,509.39 : 814,835.30 = 343,408.01 : x
  2. Step 2: Convert to fraction form
    543,509.39/814,835.30 = 343,408.01/x
  3. Step 3: Cross multiply
    543,509.39x = 814,835.30 × 343,408.01
  4. Step 4: Simplify right side
    543,509.39x = 279,820,963,059.54
  5. Step 5: Solve for x
    x = 279,820,963,059.54/543,509.39
  6. Step 6: Final answer
    x = 514,841.08

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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.