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Finding the Fourth Proportional to 406,865.48, 561,507.48 and 225,634.20

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Solution

The fourth proportional to 406,865.48, 561,507.48 and 225,634.20 is: 311,393.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,865.48 : 561,507.48 = 225,634.20 : x
  2. Step 2: Convert to fraction form
    406,865.48/561,507.48 = 225,634.20/x
  3. Step 3: Cross multiply
    406,865.48x = 561,507.48 × 225,634.20
  4. Step 4: Simplify right side
    406,865.48x = 126,695,291,043.82
  5. Step 5: Solve for x
    x = 126,695,291,043.82/406,865.48
  6. Step 6: Final answer
    x = 311,393.56

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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.