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Finding the Fourth Proportional to 386,378, 533,201.64 and 225,239.84

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Solution

The fourth proportional to 386,378, 533,201.64 and 225,239.84 is: 310,830.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,378 : 533,201.64 = 225,239.84 : x
  2. Step 2: Convert to fraction form
    386,378/533,201.64 = 225,239.84/x
  3. Step 3: Cross multiply
    386,378x = 533,201.64 × 225,239.84
  4. Step 4: Simplify right side
    386,378x = 120,098,252,081.34
  5. Step 5: Solve for x
    x = 120,098,252,081.34/386,378
  6. Step 6: Final answer
    x = 310,830.98

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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.