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Finding the Fourth Proportional to 312,467.56, 468,493.02 and 102,031.72

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Solution

The fourth proportional to 312,467.56, 468,493.02 and 102,031.72 is: 152,979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,467.56 : 468,493.02 = 102,031.72 : x
  2. Step 2: Convert to fraction form
    312,467.56/468,493.02 = 102,031.72/x
  3. Step 3: Cross multiply
    312,467.56x = 468,493.02 × 102,031.72
  4. Step 4: Simplify right side
    312,467.56x = 47,801,148,638.59
  5. Step 5: Solve for x
    x = 47,801,148,638.59/312,467.56
  6. Step 6: Final answer
    x = 152,979.56

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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.