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Finding the Fourth Proportional to 438,827.52, 658,272 and 217,152

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Solution

The fourth proportional to 438,827.52, 658,272 and 217,152 is: 325,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,827.52 : 658,272 = 217,152 : x
  2. Step 2: Convert to fraction form
    438,827.52/658,272 = 217,152/x
  3. Step 3: Cross multiply
    438,827.52x = 658,272 × 217,152
  4. Step 4: Simplify right side
    438,827.52x = 142,945,081,344
  5. Step 5: Solve for x
    x = 142,945,081,344/438,827.52
  6. Step 6: Final answer
    x = 325,743.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.