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Finding the Fourth Proportional to 320,436,584.20, 480,654,876.30 and 320,436,584.20

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Solution

The fourth proportional to 320,436,584.20, 480,654,876.30 and 320,436,584.20 is: 480,654,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,436,584.20 : 480,654,876.30 = 320,436,584.20 : x
  2. Step 2: Convert to fraction form
    320,436,584.20/480,654,876.30 = 320,436,584.20/x
  3. Step 3: Cross multiply
    320,436,584.20x = 480,654,876.30 × 320,436,584.20
  4. Step 4: Simplify right side
    320,436,584.20x = 154,019,406,740,645,536
  5. Step 5: Solve for x
    x = 154,019,406,740,645,536/320,436,584.20
  6. Step 6: Final answer
    x = 480,654,876.30

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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.