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Finding the Fourth Proportional to 412,770.72, 619,184.88 and 163,452

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Solution

The fourth proportional to 412,770.72, 619,184.88 and 163,452 is: 245,189.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,770.72 : 619,184.88 = 163,452 : x
  2. Step 2: Convert to fraction form
    412,770.72/619,184.88 = 163,452/x
  3. Step 3: Cross multiply
    412,770.72x = 619,184.88 × 163,452
  4. Step 4: Simplify right side
    412,770.72x = 101,207,007,005.76
  5. Step 5: Solve for x
    x = 101,207,007,005.76/412,770.72
  6. Step 6: Final answer
    x = 245,189.40

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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.