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Finding the Fourth Proportional to 406,392.96, 560,828.16 and 225,091.20

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Solution

The fourth proportional to 406,392.96, 560,828.16 and 225,091.20 is: 310,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,392.96 : 560,828.16 = 225,091.20 : x
  2. Step 2: Convert to fraction form
    406,392.96/560,828.16 = 225,091.20/x
  3. Step 3: Cross multiply
    406,392.96x = 560,828.16 × 225,091.20
  4. Step 4: Simplify right side
    406,392.96x = 126,237,483,528.19
  5. Step 5: Solve for x
    x = 126,237,483,528.19/406,392.96
  6. Step 6: Final answer
    x = 310,629.11

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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.