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Finding the Fourth Proportional to 278,684.42, 418,024.29 and 165,615.84

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Solution

The fourth proportional to 278,684.42, 418,024.29 and 165,615.84 is: 248,422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,684.42 : 418,024.29 = 165,615.84 : x
  2. Step 2: Convert to fraction form
    278,684.42/418,024.29 = 165,615.84/x
  3. Step 3: Cross multiply
    278,684.42x = 418,024.29 × 165,615.84
  4. Step 4: Simplify right side
    278,684.42x = 69,231,443,928.75
  5. Step 5: Solve for x
    x = 69,231,443,928.75/278,684.42
  6. Step 6: Final answer
    x = 248,422.37

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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.