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Finding the Fourth Proportional to 406,900, 561,528.75 and 225,619.57

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Solution

The fourth proportional to 406,900, 561,528.75 and 225,619.57 is: 311,358.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,900 : 561,528.75 = 225,619.57 : x
  2. Step 2: Convert to fraction form
    406,900/561,528.75 = 225,619.57/x
  3. Step 3: Cross multiply
    406,900x = 561,528.75 × 225,619.57
  4. Step 4: Simplify right side
    406,900x = 126,691,875,117.64
  5. Step 5: Solve for x
    x = 126,691,875,117.64/406,900
  6. Step 6: Final answer
    x = 311,358.75

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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.