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Finding the Fourth Proportional to 428,477.60, 642,713.16 and 128,956.88

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Solution

The fourth proportional to 428,477.60, 642,713.16 and 128,956.88 is: 193,434.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,477.60 : 642,713.16 = 128,956.88 : x
  2. Step 2: Convert to fraction form
    428,477.60/642,713.16 = 128,956.88/x
  3. Step 3: Cross multiply
    428,477.60x = 642,713.16 × 128,956.88
  4. Step 4: Simplify right side
    428,477.60x = 82,882,283,848.54
  5. Step 5: Solve for x
    x = 82,882,283,848.54/428,477.60
  6. Step 6: Final answer
    x = 193,434.34

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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.