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Finding the Fourth Proportional to 398,827.10, 550,383.10 and 217,542.93

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Solution

The fourth proportional to 398,827.10, 550,383.10 and 217,542.93 is: 300,210.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,827.10 : 550,383.10 = 217,542.93 : x
  2. Step 2: Convert to fraction form
    398,827.10/550,383.10 = 217,542.93/x
  3. Step 3: Cross multiply
    398,827.10x = 550,383.10 × 217,542.93
  4. Step 4: Simplify right side
    398,827.10x = 119,731,952,196.48
  5. Step 5: Solve for x
    x = 119,731,952,196.48/398,827.10
  6. Step 6: Final answer
    x = 300,210.17

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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.