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Finding the Fourth Proportional to 271,920.31, 407,888.50 and 129,780.54

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Solution

The fourth proportional to 271,920.31, 407,888.50 and 129,780.54 is: 194,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,920.31 : 407,888.50 = 129,780.54 : x
  2. Step 2: Convert to fraction form
    271,920.31/407,888.50 = 129,780.54/x
  3. Step 3: Cross multiply
    271,920.31x = 407,888.50 × 129,780.54
  4. Step 4: Simplify right side
    271,920.31x = 52,935,989,789.79
  5. Step 5: Solve for x
    x = 52,935,989,789.79/271,920.31
  6. Step 6: Final answer
    x = 194,674.64

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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.