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Finding the Fourth Proportional to 270,782.82, 406,407.51 and 130,659.30

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Solution

The fourth proportional to 270,782.82, 406,407.51 and 130,659.30 is: 196,101.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,782.82 : 406,407.51 = 130,659.30 : x
  2. Step 2: Convert to fraction form
    270,782.82/406,407.51 = 130,659.30/x
  3. Step 3: Cross multiply
    270,782.82x = 406,407.51 × 130,659.30
  4. Step 4: Simplify right side
    270,782.82x = 53,100,920,771.34
  5. Step 5: Solve for x
    x = 53,100,920,771.34/270,782.82
  6. Step 6: Final answer
    x = 196,101.51

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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.