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Finding the Fourth Proportional to 288,685.34, 433,115.49 and 130,871.42

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Solution

The fourth proportional to 288,685.34, 433,115.49 and 130,871.42 is: 196,346.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,685.34 : 433,115.49 = 130,871.42 : x
  2. Step 2: Convert to fraction form
    288,685.34/433,115.49 = 130,871.42/x
  3. Step 3: Cross multiply
    288,685.34x = 433,115.49 × 130,871.42
  4. Step 4: Simplify right side
    288,685.34x = 56,682,439,200.30
  5. Step 5: Solve for x
    x = 56,682,439,200.30/288,685.34
  6. Step 6: Final answer
    x = 196,346.79

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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.