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Finding the Fourth Proportional to 406,937.32, 561,580.22 and 225,656.89

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Solution

The fourth proportional to 406,937.32, 561,580.22 and 225,656.89 is: 311,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,937.32 : 561,580.22 = 225,656.89 : x
  2. Step 2: Convert to fraction form
    406,937.32/561,580.22 = 225,656.89/x
  3. Step 3: Cross multiply
    406,937.32x = 561,580.22 × 225,656.89
  4. Step 4: Simplify right side
    406,937.32x = 126,724,445,090.91
  5. Step 5: Solve for x
    x = 126,724,445,090.91/406,937.32
  6. Step 6: Final answer
    x = 311,410.23

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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.