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Finding the Fourth Proportional to 338,104.80, 507,740.40 and 180,640.80

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Solution

The fourth proportional to 338,104.80, 507,740.40 and 180,640.80 is: 271,272.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,104.80 : 507,740.40 = 180,640.80 : x
  2. Step 2: Convert to fraction form
    338,104.80/507,740.40 = 180,640.80/x
  3. Step 3: Cross multiply
    338,104.80x = 507,740.40 × 180,640.80
  4. Step 4: Simplify right side
    338,104.80x = 91,718,632,048.32
  5. Step 5: Solve for x
    x = 91,718,632,048.32/338,104.80
  6. Step 6: Final answer
    x = 271,272.79

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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.