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Finding the Fourth Proportional to 245,905.20, 368,404.20 and 140,410.80

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Solution

The fourth proportional to 245,905.20, 368,404.20 and 140,410.80 is: 210,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,905.20 : 368,404.20 = 140,410.80 : x
  2. Step 2: Convert to fraction form
    245,905.20/368,404.20 = 140,410.80/x
  3. Step 3: Cross multiply
    245,905.20x = 368,404.20 × 140,410.80
  4. Step 4: Simplify right side
    245,905.20x = 51,727,928,445.36
  5. Step 5: Solve for x
    x = 51,727,928,445.36/245,905.20
  6. Step 6: Final answer
    x = 210,357.20

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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.