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Finding the Fourth Proportional to 272,000.20, 407,654.70 and 131,456.20

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Solution

The fourth proportional to 272,000.20, 407,654.70 and 131,456.20 is: 197,017.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,000.20 : 407,654.70 = 131,456.20 : x
  2. Step 2: Convert to fraction form
    272,000.20/407,654.70 = 131,456.20/x
  3. Step 3: Cross multiply
    272,000.20x = 407,654.70 × 131,456.20
  4. Step 4: Simplify right side
    272,000.20x = 53,588,737,774.14
  5. Step 5: Solve for x
    x = 53,588,737,774.14/272,000.20
  6. Step 6: Final answer
    x = 197,017.27

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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.