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Finding the Fourth Proportional to 406,383.89, 560,809.17 and 225,095.76

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Solution

The fourth proportional to 406,383.89, 560,809.17 and 225,095.76 is: 310,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,383.89 : 560,809.17 = 225,095.76 : x
  2. Step 2: Convert to fraction form
    406,383.89/560,809.17 = 225,095.76/x
  3. Step 3: Cross multiply
    406,383.89x = 560,809.17 × 225,095.76
  4. Step 4: Simplify right side
    406,383.89x = 126,235,766,336.12
  5. Step 5: Solve for x
    x = 126,235,766,336.12/406,383.89
  6. Step 6: Final answer
    x = 310,631.82

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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.