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Finding the Fourth Proportional to 285,412.34, 428,122.74 and 135,668.06

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Solution

The fourth proportional to 285,412.34, 428,122.74 and 135,668.06 is: 203,504.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,412.34 : 428,122.74 = 135,668.06 : x
  2. Step 2: Convert to fraction form
    285,412.34/428,122.74 = 135,668.06/x
  3. Step 3: Cross multiply
    285,412.34x = 428,122.74 × 135,668.06
  4. Step 4: Simplify right side
    285,412.34x = 58,082,581,577.68
  5. Step 5: Solve for x
    x = 58,082,581,577.68/285,412.34
  6. Step 6: Final answer
    x = 203,504.10

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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.