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Finding the Fourth Proportional to 406,460.81, 561,009.21 and 270,500.48

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Solution

The fourth proportional to 406,460.81, 561,009.21 and 270,500.48 is: 373,352.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,460.81 : 561,009.21 = 270,500.48 : x
  2. Step 2: Convert to fraction form
    406,460.81/561,009.21 = 270,500.48/x
  3. Step 3: Cross multiply
    406,460.81x = 561,009.21 × 270,500.48
  4. Step 4: Simplify right side
    406,460.81x = 151,753,260,589.42
  5. Step 5: Solve for x
    x = 151,753,260,589.42/406,460.81
  6. Step 6: Final answer
    x = 373,352.75

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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.