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Finding the Fourth Proportional to 395,088, 545,225.28 and 216,243.84

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Solution

The fourth proportional to 395,088, 545,225.28 and 216,243.84 is: 298,418.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,088 : 545,225.28 = 216,243.84 : x
  2. Step 2: Convert to fraction form
    395,088/545,225.28 = 216,243.84/x
  3. Step 3: Cross multiply
    395,088x = 545,225.28 × 216,243.84
  4. Step 4: Simplify right side
    395,088x = 117,901,608,212.28
  5. Step 5: Solve for x
    x = 117,901,608,212.28/395,088
  6. Step 6: Final answer
    x = 298,418.60

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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.