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Finding the Fourth Proportional to 406,520, 560,997.60 and 227,672

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Solution

The fourth proportional to 406,520, 560,997.60 and 227,672 is: 314,187.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,520 : 560,997.60 = 227,672 : x
  2. Step 2: Convert to fraction form
    406,520/560,997.60 = 227,672/x
  3. Step 3: Cross multiply
    406,520x = 560,997.60 × 227,672
  4. Step 4: Simplify right side
    406,520x = 127,723,445,587.20
  5. Step 5: Solve for x
    x = 127,723,445,587.20/406,520
  6. Step 6: Final answer
    x = 314,187.36

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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.