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Finding the Fourth Proportional to 297,797.28, 446,799.60 and 140,146.08

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Solution

The fourth proportional to 297,797.28, 446,799.60 and 140,146.08 is: 210,267.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,797.28 : 446,799.60 = 140,146.08 : x
  2. Step 2: Convert to fraction form
    297,797.28/446,799.60 = 140,146.08/x
  3. Step 3: Cross multiply
    297,797.28x = 446,799.60 × 140,146.08
  4. Step 4: Simplify right side
    297,797.28x = 62,617,212,485.57
  5. Step 5: Solve for x
    x = 62,617,212,485.57/297,797.28
  6. Step 6: Final answer
    x = 210,267.91

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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.