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Finding the Fourth Proportional to 278,854.96, 384,825.53 and 151,538.75

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Solution

The fourth proportional to 278,854.96, 384,825.53 and 151,538.75 is: 209,126.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,854.96 : 384,825.53 = 151,538.75 : x
  2. Step 2: Convert to fraction form
    278,854.96/384,825.53 = 151,538.75/x
  3. Step 3: Cross multiply
    278,854.96x = 384,825.53 × 151,538.75
  4. Step 4: Simplify right side
    278,854.96x = 58,315,981,125.20
  5. Step 5: Solve for x
    x = 58,315,981,125.20/278,854.96
  6. Step 6: Final answer
    x = 209,126.57

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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.