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Finding the Fourth Proportional to 298,194.34, 447,280.74 and 129,714.78

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Solution

The fourth proportional to 298,194.34, 447,280.74 and 129,714.78 is: 194,567.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,194.34 : 447,280.74 = 129,714.78 : x
  2. Step 2: Convert to fraction form
    298,194.34/447,280.74 = 129,714.78/x
  3. Step 3: Cross multiply
    298,194.34x = 447,280.74 × 129,714.78
  4. Step 4: Simplify right side
    298,194.34x = 58,018,922,787.34
  5. Step 5: Solve for x
    x = 58,018,922,787.34/298,194.34
  6. Step 6: Final answer
    x = 194,567.49

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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.