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Finding the Fourth Proportional to 538,346.80, 806,523.90 and 313,814.80

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Solution

The fourth proportional to 538,346.80, 806,523.90 and 313,814.80 is: 470,141.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,346.80 : 806,523.90 = 313,814.80 : x
  2. Step 2: Convert to fraction form
    538,346.80/806,523.90 = 313,814.80/x
  3. Step 3: Cross multiply
    538,346.80x = 806,523.90 × 313,814.80
  4. Step 4: Simplify right side
    538,346.80x = 253,099,136,373.72
  5. Step 5: Solve for x
    x = 253,099,136,373.72/538,346.80
  6. Step 6: Final answer
    x = 470,141.43

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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.