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Finding the Fourth Proportional to 428,704.32, 642,908.64 and 175,913.04

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Solution

The fourth proportional to 428,704.32, 642,908.64 and 175,913.04 is: 263,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,704.32 : 642,908.64 = 175,913.04 : x
  2. Step 2: Convert to fraction form
    428,704.32/642,908.64 = 175,913.04/x
  3. Step 3: Cross multiply
    428,704.32x = 642,908.64 × 175,913.04
  4. Step 4: Simplify right side
    428,704.32x = 113,096,013,304.67
  5. Step 5: Solve for x
    x = 113,096,013,304.67/428,704.32
  6. Step 6: Final answer
    x = 263,808.90

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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.