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Finding the Fourth Proportional to 278,765.96, 384,697.48 and 151,441.66

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Solution

The fourth proportional to 278,765.96, 384,697.48 and 151,441.66 is: 208,989.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,765.96 : 384,697.48 = 151,441.66 : x
  2. Step 2: Convert to fraction form
    278,765.96/384,697.48 = 151,441.66/x
  3. Step 3: Cross multiply
    278,765.96x = 384,697.48 × 151,441.66
  4. Step 4: Simplify right side
    278,765.96x = 58,259,224,969.02
  5. Step 5: Solve for x
    x = 58,259,224,969.02/278,765.96
  6. Step 6: Final answer
    x = 208,989.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.