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Finding the Fourth Proportional to 298,190.88, 447,383.52 and 140,435.28

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Solution

The fourth proportional to 298,190.88, 447,383.52 and 140,435.28 is: 210,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,190.88 : 447,383.52 = 140,435.28 : x
  2. Step 2: Convert to fraction form
    298,190.88/447,383.52 = 140,435.28/x
  3. Step 3: Cross multiply
    298,190.88x = 447,383.52 × 140,435.28
  4. Step 4: Simplify right side
    298,190.88x = 62,828,429,898.59
  5. Step 5: Solve for x
    x = 62,828,429,898.59/298,190.88
  6. Step 6: Final answer
    x = 210,698.70

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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.