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Finding the Fourth Proportional to 270,385, 405,577.50 and 73,393

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Solution

The fourth proportional to 270,385, 405,577.50 and 73,393 is: 110,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,385 : 405,577.50 = 73,393 : x
  2. Step 2: Convert to fraction form
    270,385/405,577.50 = 73,393/x
  3. Step 3: Cross multiply
    270,385x = 405,577.50 × 73,393
  4. Step 4: Simplify right side
    270,385x = 29,766,549,457.50
  5. Step 5: Solve for x
    x = 29,766,549,457.50/270,385
  6. Step 6: Final answer
    x = 110,089.50

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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.