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Finding the Fourth Proportional to 406,854.85, 561,492.96 and 225,623.62

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Solution

The fourth proportional to 406,854.85, 561,492.96 and 225,623.62 is: 311,379.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,854.85 : 561,492.96 = 225,623.62 : x
  2. Step 2: Convert to fraction form
    406,854.85/561,492.96 = 225,623.62/x
  3. Step 3: Cross multiply
    406,854.85x = 561,492.96 × 225,623.62
  4. Step 4: Simplify right side
    406,854.85x = 126,686,074,239.72
  5. Step 5: Solve for x
    x = 126,686,074,239.72/406,854.85
  6. Step 6: Final answer
    x = 311,379.04

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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.