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Finding the Fourth Proportional to 538,346.70, 807,893.00 and 214,101.57

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Solution

The fourth proportional to 538,346.70, 807,893.00 and 214,101.57 is: 321,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,346.70 : 807,893.00 = 214,101.57 : x
  2. Step 2: Convert to fraction form
    538,346.70/807,893.00 = 214,101.57/x
  3. Step 3: Cross multiply
    538,346.70x = 807,893.00 × 214,101.57
  4. Step 4: Simplify right side
    538,346.70x = 172,971,160,227.26
  5. Step 5: Solve for x
    x = 172,971,160,227.26/538,346.70
  6. Step 6: Final answer
    x = 321,300.68

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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.