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Finding the Fourth Proportional to 406,461.60, 560,910.96 and 225,173.16

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Solution

The fourth proportional to 406,461.60, 560,910.96 and 225,173.16 is: 310,735.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,461.60 : 560,910.96 = 225,173.16 : x
  2. Step 2: Convert to fraction form
    406,461.60/560,910.96 = 225,173.16/x
  3. Step 3: Cross multiply
    406,461.60x = 560,910.96 × 225,173.16
  4. Step 4: Simplify right side
    406,461.60x = 126,302,093,341.83
  5. Step 5: Solve for x
    x = 126,302,093,341.83/406,461.60
  6. Step 6: Final answer
    x = 310,735.61

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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.