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Finding the Fourth Proportional to 398,908.84, 550,493.47 and 217,620.77

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Solution

The fourth proportional to 398,908.84, 550,493.47 and 217,620.77 is: 300,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,908.84 : 550,493.47 = 217,620.77 : x
  2. Step 2: Convert to fraction form
    398,908.84/550,493.47 = 217,620.77/x
  3. Step 3: Cross multiply
    398,908.84x = 550,493.47 × 217,620.77
  4. Step 4: Simplify right side
    398,908.84x = 119,798,811,733.27
  5. Step 5: Solve for x
    x = 119,798,811,733.27/398,908.84
  6. Step 6: Final answer
    x = 300,316.27

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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.