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Finding the Fourth Proportional to 406,709.16, 561,262.77 and 225,425.07

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Solution

The fourth proportional to 406,709.16, 561,262.77 and 225,425.07 is: 311,088.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,709.16 : 561,262.77 = 225,425.07 : x
  2. Step 2: Convert to fraction form
    406,709.16/561,262.77 = 225,425.07/x
  3. Step 3: Cross multiply
    406,709.16x = 561,262.77 × 225,425.07
  4. Step 4: Simplify right side
    406,709.16x = 126,522,699,215.64
  5. Step 5: Solve for x
    x = 126,522,699,215.64/406,709.16
  6. Step 6: Final answer
    x = 311,088.89

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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.