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Finding the Fourth Proportional to 538,109.92, 807,160.56 and 201,235.60

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Solution

The fourth proportional to 538,109.92, 807,160.56 and 201,235.60 is: 301,851.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,109.92 : 807,160.56 = 201,235.60 : x
  2. Step 2: Convert to fraction form
    538,109.92/807,160.56 = 201,235.60/x
  3. Step 3: Cross multiply
    538,109.92x = 807,160.56 × 201,235.60
  4. Step 4: Simplify right side
    538,109.92x = 162,429,439,587.94
  5. Step 5: Solve for x
    x = 162,429,439,587.94/538,109.92
  6. Step 6: Final answer
    x = 301,851.78

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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.