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Finding the Fourth Proportional to 180,403.68, 270,356.16 and 156,654.84

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Solution

The fourth proportional to 180,403.68, 270,356.16 and 156,654.84 is: 234,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,403.68 : 270,356.16 = 156,654.84 : x
  2. Step 2: Convert to fraction form
    180,403.68/270,356.16 = 156,654.84/x
  3. Step 3: Cross multiply
    180,403.68x = 270,356.16 × 156,654.84
  4. Step 4: Simplify right side
    180,403.68x = 42,352,600,987.81
  5. Step 5: Solve for x
    x = 42,352,600,987.81/180,403.68
  6. Step 6: Final answer
    x = 234,765.73

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1.5x scale

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.