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Finding the Fourth Proportional to 406,956.90, 561,629.28 and 225,686.19

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Solution

The fourth proportional to 406,956.90, 561,629.28 and 225,686.19 is: 311,462.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,956.90 : 561,629.28 = 225,686.19 : x
  2. Step 2: Convert to fraction form
    406,956.90/561,629.28 = 225,686.19/x
  3. Step 3: Cross multiply
    406,956.90x = 561,629.28 × 225,686.19
  4. Step 4: Simplify right side
    406,956.90x = 126,751,972,395.64
  5. Step 5: Solve for x
    x = 126,751,972,395.64/406,956.90
  6. Step 6: Final answer
    x = 311,462.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.