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Finding the Fourth Proportional to 312,905.32, 469,416.36 and 142,139.03

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Solution

The fourth proportional to 312,905.32, 469,416.36 and 142,139.03 is: 213,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,905.32 : 469,416.36 = 142,139.03 : x
  2. Step 2: Convert to fraction form
    312,905.32/469,416.36 = 142,139.03/x
  3. Step 3: Cross multiply
    312,905.32x = 469,416.36 × 142,139.03
  4. Step 4: Simplify right side
    312,905.32x = 66,722,383,729.45
  5. Step 5: Solve for x
    x = 66,722,383,729.45/312,905.32
  6. Step 6: Final answer
    x = 213,235.06

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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.