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Finding the Fourth Proportional to 268,434.64, 401,775.78 and 197,338.46

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Solution

The fourth proportional to 268,434.64, 401,775.78 and 197,338.46 is: 295,363.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,434.64 : 401,775.78 = 197,338.46 : x
  2. Step 2: Convert to fraction form
    268,434.64/401,775.78 = 197,338.46/x
  3. Step 3: Cross multiply
    268,434.64x = 401,775.78 × 197,338.46
  4. Step 4: Simplify right side
    268,434.64x = 79,285,812,421.64
  5. Step 5: Solve for x
    x = 79,285,812,421.64/268,434.64
  6. Step 6: Final answer
    x = 295,363.56

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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.