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Finding the Fourth Proportional to 338,385.14, 507,641.80 and 135,996.98

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Solution

The fourth proportional to 338,385.14, 507,641.80 and 135,996.98 is: 204,021.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,385.14 : 507,641.80 = 135,996.98 : x
  2. Step 2: Convert to fraction form
    338,385.14/507,641.80 = 135,996.98/x
  3. Step 3: Cross multiply
    338,385.14x = 507,641.80 × 135,996.98
  4. Step 4: Simplify right side
    338,385.14x = 69,037,751,721.76
  5. Step 5: Solve for x
    x = 69,037,751,721.76/338,385.14
  6. Step 6: Final answer
    x = 204,021.23

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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.