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Finding the Fourth Proportional to 406,854.73, 561,492.79 and 225,623.51

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Solution

The fourth proportional to 406,854.73, 561,492.79 and 225,623.51 is: 311,378.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,854.73 : 561,492.79 = 225,623.51 : x
  2. Step 2: Convert to fraction form
    406,854.73/561,492.79 = 225,623.51/x
  3. Step 3: Cross multiply
    406,854.73x = 561,492.79 × 225,623.51
  4. Step 4: Simplify right side
    406,854.73x = 126,685,971,312.03
  5. Step 5: Solve for x
    x = 126,685,971,312.03/406,854.73
  6. Step 6: Final answer
    x = 311,378.89

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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.