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Finding the Fourth Proportional to 338,640.82, 507,971.99 and 125,462.12

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Solution

The fourth proportional to 338,640.82, 507,971.99 and 125,462.12 is: 188,197.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,640.82 : 507,971.99 = 125,462.12 : x
  2. Step 2: Convert to fraction form
    338,640.82/507,971.99 = 125,462.12/x
  3. Step 3: Cross multiply
    338,640.82x = 507,971.99 × 125,462.12
  4. Step 4: Simplify right side
    338,640.82x = 63,731,240,539.81
  5. Step 5: Solve for x
    x = 63,731,240,539.81/338,640.82
  6. Step 6: Final answer
    x = 188,197.16

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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.