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Finding the Fourth Proportional to 406,781.07, 561,298.76 and 225,492.84

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Solution

The fourth proportional to 406,781.07, 561,298.76 and 225,492.84 is: 311,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,781.07 : 561,298.76 = 225,492.84 : x
  2. Step 2: Convert to fraction form
    406,781.07/561,298.76 = 225,492.84/x
  3. Step 3: Cross multiply
    406,781.07x = 561,298.76 × 225,492.84
  4. Step 4: Simplify right side
    406,781.07x = 126,568,850,353.41
  5. Step 5: Solve for x
    x = 126,568,850,353.41/406,781.07
  6. Step 6: Final answer
    x = 311,147.35

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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.