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Finding the Fourth Proportional to 270,291.10, 405,431.53 and 80,752.01

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Solution

The fourth proportional to 270,291.10, 405,431.53 and 80,752.01 is: 121,126.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,291.10 : 405,431.53 = 80,752.01 : x
  2. Step 2: Convert to fraction form
    270,291.10/405,431.53 = 80,752.01/x
  3. Step 3: Cross multiply
    270,291.10x = 405,431.53 × 80,752.01
  4. Step 4: Simplify right side
    270,291.10x = 32,739,412,156.67
  5. Step 5: Solve for x
    x = 32,739,412,156.67/270,291.10
  6. Step 6: Final answer
    x = 121,126.49

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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.