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Finding the Fourth Proportional to 538,558.64, 807,835.52 and 139,165.46

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Solution

The fourth proportional to 538,558.64, 807,835.52 and 139,165.46 is: 208,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,558.64 : 807,835.52 = 139,165.46 : x
  2. Step 2: Convert to fraction form
    538,558.64/807,835.52 = 139,165.46/x
  3. Step 3: Cross multiply
    538,558.64x = 807,835.52 × 139,165.46
  4. Step 4: Simplify right side
    538,558.64x = 112,422,797,010.13
  5. Step 5: Solve for x
    x = 112,422,797,010.13/538,558.64
  6. Step 6: Final answer
    x = 208,747.55

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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.