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Finding the Fourth Proportional to 406,828.98, 561,457.04 and 225,597.69

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Solution

The fourth proportional to 406,828.98, 561,457.04 and 225,597.69 is: 311,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,828.98 : 561,457.04 = 225,597.69 : x
  2. Step 2: Convert to fraction form
    406,828.98/561,457.04 = 225,597.69/x
  3. Step 3: Cross multiply
    406,828.98x = 561,457.04 × 225,597.69
  4. Step 4: Simplify right side
    406,828.98x = 126,663,410,130.25
  5. Step 5: Solve for x
    x = 126,663,410,130.25/406,828.98
  6. Step 6: Final answer
    x = 311,343.14

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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.