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Finding the Fourth Proportional to 270,413, 405,619.58 and 73,421

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Solution

The fourth proportional to 270,413, 405,619.58 and 73,421 is: 110,131.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,413 : 405,619.58 = 73,421 : x
  2. Step 2: Convert to fraction form
    270,413/405,619.58 = 73,421/x
  3. Step 3: Cross multiply
    270,413x = 405,619.58 × 73,421
  4. Step 4: Simplify right side
    270,413x = 29,780,995,183.18
  5. Step 5: Solve for x
    x = 29,780,995,183.18/270,413
  6. Step 6: Final answer
    x = 110,131.52

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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.