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Finding the Fourth Proportional to 270,215.42, 405,405.14 and 143,834.16

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Solution

The fourth proportional to 270,215.42, 405,405.14 and 143,834.16 is: 215,794.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,215.42 : 405,405.14 = 143,834.16 : x
  2. Step 2: Convert to fraction form
    270,215.42/405,405.14 = 143,834.16/x
  3. Step 3: Cross multiply
    270,215.42x = 405,405.14 × 143,834.16
  4. Step 4: Simplify right side
    270,215.42x = 58,311,107,052.41
  5. Step 5: Solve for x
    x = 58,311,107,052.41/270,215.42
  6. Step 6: Final answer
    x = 215,794.89

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1.5x scale

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.