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Finding the Fourth Proportional to 398,827.56, 550,383.76 and 217,543.39

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Solution

The fourth proportional to 398,827.56, 550,383.76 and 217,543.39 is: 300,210.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,827.56 : 550,383.76 = 217,543.39 : x
  2. Step 2: Convert to fraction form
    398,827.56/550,383.76 = 217,543.39/x
  3. Step 3: Cross multiply
    398,827.56x = 550,383.76 × 217,543.39
  4. Step 4: Simplify right side
    398,827.56x = 119,732,348,951.35
  5. Step 5: Solve for x
    x = 119,732,348,951.35/398,827.56
  6. Step 6: Final answer
    x = 300,210.82

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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.