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Finding the Fourth Proportional to 270,309.80, 405,470.10 and 70,617.80

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Solution

The fourth proportional to 270,309.80, 405,470.10 and 70,617.80 is: 105,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,309.80 : 405,470.10 = 70,617.80 : x
  2. Step 2: Convert to fraction form
    270,309.80/405,470.10 = 70,617.80/x
  3. Step 3: Cross multiply
    270,309.80x = 405,470.10 × 70,617.80
  4. Step 4: Simplify right side
    270,309.80x = 28,633,406,427.78
  5. Step 5: Solve for x
    x = 28,633,406,427.78/270,309.80
  6. Step 6: Final answer
    x = 105,928.11

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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.