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Finding the Fourth Proportional to 462,000.20, 693,000.30 and 146,456.60

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Solution

The fourth proportional to 462,000.20, 693,000.30 and 146,456.60 is: 219,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,000.20 : 693,000.30 = 146,456.60 : x
  2. Step 2: Convert to fraction form
    462,000.20/693,000.30 = 146,456.60/x
  3. Step 3: Cross multiply
    462,000.20x = 693,000.30 × 146,456.60
  4. Step 4: Simplify right side
    462,000.20x = 101,494,467,736.98
  5. Step 5: Solve for x
    x = 101,494,467,736.98/462,000.20
  6. Step 6: Final answer
    x = 219,684.90

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Similar ratio
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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.