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Finding the Fourth Proportional to 288,031.56, 432,046.85 and 119,439.38

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Solution

The fourth proportional to 288,031.56, 432,046.85 and 119,439.38 is: 179,158.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,031.56 : 432,046.85 = 119,439.38 : x
  2. Step 2: Convert to fraction form
    288,031.56/432,046.85 = 119,439.38/x
  3. Step 3: Cross multiply
    288,031.56x = 432,046.85 × 119,439.38
  4. Step 4: Simplify right side
    288,031.56x = 51,603,405,137.52
  5. Step 5: Solve for x
    x = 51,603,405,137.52/288,031.56
  6. Step 6: Final answer
    x = 179,158.86

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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.