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Finding the Fourth Proportional to 538,348.70, 807,896 and 214,103.58

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Solution

The fourth proportional to 538,348.70, 807,896 and 214,103.58 is: 321,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,348.70 : 807,896 = 214,103.58 : x
  2. Step 2: Convert to fraction form
    538,348.70/807,896 = 214,103.58/x
  3. Step 3: Cross multiply
    538,348.70x = 807,896 × 214,103.58
  4. Step 4: Simplify right side
    538,348.70x = 172,973,425,867.68
  5. Step 5: Solve for x
    x = 172,973,425,867.68/538,348.70
  6. Step 6: Final answer
    x = 321,303.69

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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.