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Finding the Fourth Proportional to 387,934.36, 535,401.06 and 218,201.32

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Solution

The fourth proportional to 387,934.36, 535,401.06 and 218,201.32 is: 301,146.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,934.36 : 535,401.06 = 218,201.32 : x
  2. Step 2: Convert to fraction form
    387,934.36/535,401.06 = 218,201.32/x
  3. Step 3: Cross multiply
    387,934.36x = 535,401.06 × 218,201.32
  4. Step 4: Simplify right side
    387,934.36x = 116,825,218,021.40
  5. Step 5: Solve for x
    x = 116,825,218,021.40/387,934.36
  6. Step 6: Final answer
    x = 301,146.87

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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.