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Finding the Fourth Proportional to 406,902, 561,531.52 and 225,621.58

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Solution

The fourth proportional to 406,902, 561,531.52 and 225,621.58 is: 311,361.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,902 : 561,531.52 = 225,621.58 : x
  2. Step 2: Convert to fraction form
    406,902/561,531.52 = 225,621.58/x
  3. Step 3: Cross multiply
    406,902x = 561,531.52 × 225,621.58
  4. Step 4: Simplify right side
    406,902x = 126,693,628,762.20
  5. Step 5: Solve for x
    x = 126,693,628,762.20/406,902
  6. Step 6: Final answer
    x = 311,361.53

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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.