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Finding the Fourth Proportional to 338,012.40, 507,012.60 and 135,660

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Solution

The fourth proportional to 338,012.40, 507,012.60 and 135,660 is: 203,487.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,012.40 : 507,012.60 = 135,660 : x
  2. Step 2: Convert to fraction form
    338,012.40/507,012.60 = 135,660/x
  3. Step 3: Cross multiply
    338,012.40x = 507,012.60 × 135,660
  4. Step 4: Simplify right side
    338,012.40x = 68,781,329,316
  5. Step 5: Solve for x
    x = 68,781,329,316/338,012.40
  6. Step 6: Final answer
    x = 203,487.59

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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.