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Finding the Fourth Proportional to 362,062.56, 542,918.40 and 212,351.84

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Solution

The fourth proportional to 362,062.56, 542,918.40 and 212,351.84 is: 318,424.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,062.56 : 542,918.40 = 212,351.84 : x
  2. Step 2: Convert to fraction form
    362,062.56/542,918.40 = 212,351.84/x
  3. Step 3: Cross multiply
    362,062.56x = 542,918.40 × 212,351.84
  4. Step 4: Simplify right side
    362,062.56x = 115,289,721,209.86
  5. Step 5: Solve for x
    x = 115,289,721,209.86/362,062.56
  6. Step 6: Final answer
    x = 318,424.86

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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.