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Finding the Fourth Proportional to 411,908.81, 568,141.02 and 378,026.64

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Solution

The fourth proportional to 411,908.81, 568,141.02 and 378,026.64 is: 521,407.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,908.81 : 568,141.02 = 378,026.64 : x
  2. Step 2: Convert to fraction form
    411,908.81/568,141.02 = 378,026.64/x
  3. Step 3: Cross multiply
    411,908.81x = 568,141.02 × 378,026.64
  4. Step 4: Simplify right side
    411,908.81x = 214,772,440,836.77
  5. Step 5: Solve for x
    x = 214,772,440,836.77/411,908.81
  6. Step 6: Final answer
    x = 521,407.74

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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.