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Finding the Fourth Proportional to 428,549.60, 642,709.20 and 129,029.60

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Solution

The fourth proportional to 428,549.60, 642,709.20 and 129,029.60 is: 193,509.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,549.60 : 642,709.20 = 129,029.60 : x
  2. Step 2: Convert to fraction form
    428,549.60/642,709.20 = 129,029.60/x
  3. Step 3: Cross multiply
    428,549.60x = 642,709.20 × 129,029.60
  4. Step 4: Simplify right side
    428,549.60x = 82,928,510,992.32
  5. Step 5: Solve for x
    x = 82,928,510,992.32/428,549.60
  6. Step 6: Final answer
    x = 193,509.72

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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.