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Finding the Fourth Proportional to 270,200.80, 405,531.60 and 120,671.20

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Solution

The fourth proportional to 270,200.80, 405,531.60 and 120,671.20 is: 181,109.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,200.80 : 405,531.60 = 120,671.20 : x
  2. Step 2: Convert to fraction form
    270,200.80/405,531.60 = 120,671.20/x
  3. Step 3: Cross multiply
    270,200.80x = 405,531.60 × 120,671.20
  4. Step 4: Simplify right side
    270,200.80x = 48,935,984,809.92
  5. Step 5: Solve for x
    x = 48,935,984,809.92/270,200.80
  6. Step 6: Final answer
    x = 181,109.70

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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.