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Finding the Fourth Proportional to 270,692.13, 405,809.80 and 170,631.72

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Solution

The fourth proportional to 270,692.13, 405,809.80 and 170,631.72 is: 255,803.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,692.13 : 405,809.80 = 170,631.72 : x
  2. Step 2: Convert to fraction form
    270,692.13/405,809.80 = 170,631.72/x
  3. Step 3: Cross multiply
    270,692.13x = 405,809.80 × 170,631.72
  4. Step 4: Simplify right side
    270,692.13x = 69,244,024,166.86
  5. Step 5: Solve for x
    x = 69,244,024,166.86/270,692.13
  6. Step 6: Final answer
    x = 255,803.61

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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.