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Finding the Fourth Proportional to 386,211.06, 532,971.06 and 214,128.56

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Solution

The fourth proportional to 386,211.06, 532,971.06 and 214,128.56 is: 295,497.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,211.06 : 532,971.06 = 214,128.56 : x
  2. Step 2: Convert to fraction form
    386,211.06/532,971.06 = 214,128.56/x
  3. Step 3: Cross multiply
    386,211.06x = 532,971.06 × 214,128.56
  4. Step 4: Simplify right side
    386,211.06x = 114,124,327,935.63
  5. Step 5: Solve for x
    x = 114,124,327,935.63/386,211.06
  6. Step 6: Final answer
    x = 295,497.30

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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.