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Finding the Fourth Proportional to 409,258.60, 613,984.26 and 128,775.76

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Solution

The fourth proportional to 409,258.60, 613,984.26 and 128,775.76 is: 193,193.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,258.60 : 613,984.26 = 128,775.76 : x
  2. Step 2: Convert to fraction form
    409,258.60/613,984.26 = 128,775.76/x
  3. Step 3: Cross multiply
    409,258.60x = 613,984.26 × 128,775.76
  4. Step 4: Simplify right side
    409,258.60x = 79,066,289,709.54
  5. Step 5: Solve for x
    x = 79,066,289,709.54/409,258.60
  6. Step 6: Final answer
    x = 193,193.96

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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.