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Finding the Fourth Proportional to 406,857.41, 561,462.21 and 225,564.67

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Solution

The fourth proportional to 406,857.41, 561,462.21 and 225,564.67 is: 311,278.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,857.41 : 561,462.21 = 225,564.67 : x
  2. Step 2: Convert to fraction form
    406,857.41/561,462.21 = 225,564.67/x
  3. Step 3: Cross multiply
    406,857.41x = 561,462.21 × 225,564.67
  4. Step 4: Simplify right side
    406,857.41x = 126,646,039,762.66
  5. Step 5: Solve for x
    x = 126,646,039,762.66/406,857.41
  6. Step 6: Final answer
    x = 311,278.69

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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.