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Finding the Fourth Proportional to 538,110.20, 807,165.30 and 301,914.20

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Solution

The fourth proportional to 538,110.20, 807,165.30 and 301,914.20 is: 452,871.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,110.20 : 807,165.30 = 301,914.20 : x
  2. Step 2: Convert to fraction form
    538,110.20/807,165.30 = 301,914.20/x
  3. Step 3: Cross multiply
    538,110.20x = 807,165.30 × 301,914.20
  4. Step 4: Simplify right side
    538,110.20x = 243,694,665,817.26
  5. Step 5: Solve for x
    x = 243,694,665,817.26/538,110.20
  6. Step 6: Final answer
    x = 452,871.30

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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.