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Finding the Fourth Proportional to 406,765.84, 561,277.92 and 225,477.73

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Solution

The fourth proportional to 406,765.84, 561,277.92 and 225,477.73 is: 311,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,765.84 : 561,277.92 = 225,477.73 : x
  2. Step 2: Convert to fraction form
    406,765.84/561,277.92 = 225,477.73/x
  3. Step 3: Cross multiply
    406,765.84x = 561,277.92 × 225,477.73
  4. Step 4: Simplify right side
    406,765.84x = 126,555,671,300.72
  5. Step 5: Solve for x
    x = 126,555,671,300.72/406,765.84
  6. Step 6: Final answer
    x = 311,126.60

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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.