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Finding the Fourth Proportional to 278,608.10, 384,492.08 and 157,733.42

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Solution

The fourth proportional to 278,608.10, 384,492.08 and 157,733.42 is: 217,679.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,608.10 : 384,492.08 = 157,733.42 : x
  2. Step 2: Convert to fraction form
    278,608.10/384,492.08 = 157,733.42/x
  3. Step 3: Cross multiply
    278,608.10x = 384,492.08 × 157,733.42
  4. Step 4: Simplify right side
    278,608.10x = 60,647,249,213.19
  5. Step 5: Solve for x
    x = 60,647,249,213.19/278,608.10
  6. Step 6: Final answer
    x = 217,679.42

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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.