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Finding the Fourth Proportional to 287,493, 430,669.06 and 135,481.92

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Solution

The fourth proportional to 287,493, 430,669.06 and 135,481.92 is: 202,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,493 : 430,669.06 = 135,481.92 : x
  2. Step 2: Convert to fraction form
    287,493/430,669.06 = 135,481.92/x
  3. Step 3: Cross multiply
    287,493x = 430,669.06 × 135,481.92
  4. Step 4: Simplify right side
    287,493x = 58,347,871,133.40
  5. Step 5: Solve for x
    x = 58,347,871,133.40/287,493
  6. Step 6: Final answer
    x = 202,954.06

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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.