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Finding the Fourth Proportional to 407,066.16, 561,818.54 and 225,836.47

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Solution

The fourth proportional to 407,066.16, 561,818.54 and 225,836.47 is: 311,691.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,066.16 : 561,818.54 = 225,836.47 : x
  2. Step 2: Convert to fraction form
    407,066.16/561,818.54 = 225,836.47/x
  3. Step 3: Cross multiply
    407,066.16x = 561,818.54 × 225,836.47
  4. Step 4: Simplify right side
    407,066.16x = 126,879,111,915.88
  5. Step 5: Solve for x
    x = 126,879,111,915.88/407,066.16
  6. Step 6: Final answer
    x = 311,691.63

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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.