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Finding the Fourth Proportional to 312,442.56, 468,456.48 and 102,006.72

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Solution

The fourth proportional to 312,442.56, 468,456.48 and 102,006.72 is: 152,942.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,442.56 : 468,456.48 = 102,006.72 : x
  2. Step 2: Convert to fraction form
    312,442.56/468,456.48 = 102,006.72/x
  3. Step 3: Cross multiply
    312,442.56x = 468,456.48 × 102,006.72
  4. Step 4: Simplify right side
    312,442.56x = 47,785,708,987.55
  5. Step 5: Solve for x
    x = 47,785,708,987.55/312,442.56
  6. Step 6: Final answer
    x = 152,942.38

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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.