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Finding the Fourth Proportional to 278,452.84, 384,265.29 and 151,128.43

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Solution

The fourth proportional to 278,452.84, 384,265.29 and 151,128.43 is: 208,557.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,452.84 : 384,265.29 = 151,128.43 : x
  2. Step 2: Convert to fraction form
    278,452.84/384,265.29 = 151,128.43/x
  3. Step 3: Cross multiply
    278,452.84x = 384,265.29 × 151,128.43
  4. Step 4: Simplify right side
    278,452.84x = 58,073,409,981.19
  5. Step 5: Solve for x
    x = 58,073,409,981.19/278,452.84
  6. Step 6: Final answer
    x = 208,557.43

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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.