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Finding the Fourth Proportional to 418,439.86, 577,725.08 and 321,471.01

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Solution

The fourth proportional to 418,439.86, 577,725.08 and 321,471.01 is: 443,843.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,439.86 : 577,725.08 = 321,471.01 : x
  2. Step 2: Convert to fraction form
    418,439.86/577,725.08 = 321,471.01/x
  3. Step 3: Cross multiply
    418,439.86x = 577,725.08 × 321,471.01
  4. Step 4: Simplify right side
    418,439.86x = 185,721,864,084.73
  5. Step 5: Solve for x
    x = 185,721,864,084.73/418,439.86
  6. Step 6: Final answer
    x = 443,843.63

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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.