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Finding the Fourth Proportional to 406,572,226.68, 561,077,978.70 and 220,945,200.12

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Solution

The fourth proportional to 406,572,226.68, 561,077,978.70 and 220,945,200.12 is: 304,908,889.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,572,226.68 : 561,077,978.70 = 220,945,200.12 : x
  2. Step 2: Convert to fraction form
    406,572,226.68/561,077,978.70 = 220,945,200.12/x
  3. Step 3: Cross multiply
    406,572,226.68x = 561,077,978.70 × 220,945,200.12
  4. Step 4: Simplify right side
    406,572,226.68x = 123,967,486,286,796,608
  5. Step 5: Solve for x
    x = 123,967,486,286,796,608/406,572,226.68
  6. Step 6: Final answer
    x = 304,908,889.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.