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Finding the Fourth Proportional to 407,985.50, 612,000.12 and 127,524.62

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Solution

The fourth proportional to 407,985.50, 612,000.12 and 127,524.62 is: 191,293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,985.50 : 612,000.12 = 127,524.62 : x
  2. Step 2: Convert to fraction form
    407,985.50/612,000.12 = 127,524.62/x
  3. Step 3: Cross multiply
    407,985.50x = 612,000.12 × 127,524.62
  4. Step 4: Simplify right side
    407,985.50x = 78,045,082,742.95
  5. Step 5: Solve for x
    x = 78,045,082,742.95/407,985.50
  6. Step 6: Final answer
    x = 191,293.77

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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.