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Finding the Fourth Proportional to 312,474.32, 468,789.24 and 90,858.32

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Solution

The fourth proportional to 312,474.32, 468,789.24 and 90,858.32 is: 136,310.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,474.32 : 468,789.24 = 90,858.32 : x
  2. Step 2: Convert to fraction form
    312,474.32/468,789.24 = 90,858.32/x
  3. Step 3: Cross multiply
    312,474.32x = 468,789.24 × 90,858.32
  4. Step 4: Simplify right side
    312,474.32x = 42,593,402,780.48
  5. Step 5: Solve for x
    x = 42,593,402,780.48/312,474.32
  6. Step 6: Final answer
    x = 136,310.09

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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.